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16000040000025 = 345210328632
BaseRepresentation
bin1110100011010100110010…
…1100110101101000011001
32002122120220022001000110000
43220311030230311220121
54044121040220000100
654010152241243213
73240651623013564
oct350651454655031
962576808030400
1016000040000025
115109640507044
121964ab9033509
138c0a49881b73
143d45983714db
151cb2e767c900
hexe8d4cb35a19

16000040000025 has 135 divisors (see below), whose sum is σ = 29962861700079. Its totient is φ = 8440714550880.

The previous prime is 16000040000023. The next prime is 16000040000041. The reversal of 16000040000025 is 52000004000061.

It is a happy number.

The square root of 16000040000025 is 4000005.

It is a perfect power (a square), and thus also a powerful number.

16000040000025 is a `hidden beast` number, since 1 + 600 + 0 + 0 + 40 + 0 + 0 + 0 + 0 + 25 = 666.

16000040000025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5760014400009 + 10240025600016 = 2400003^2 + 3200004^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 16000040000025 - 21 = 16000040000023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 16000039999962 and 16000040000007.

It is not an unprimeable number, because it can be changed into a prime (16000040000023) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 18540022744 + ... + 18540023606.

Almost surely, 216000040000025 is an apocalyptic number.

16000040000025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16000040000025 is the 4000005-th square number.

16000040000025 is the 2000003-rd centered octagonal number.

It is an amenable number.

16000040000025 is a deficient number, since it is larger than the sum of its proper divisors (13962821700054).

16000040000025 is an frugal number, since it uses more digits than its factorization.

16000040000025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1954 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 16000040000025 its reverse (52000004000061), we get a palindrome (68000044000086).

The spelling of 16000040000025 in words is "sixteen trillion, forty million, twenty-five", and thus it is an aban number and an uban number.

Divisors: 1 3 5 9 15 25 27 45 75 81 103 135 225 309 405 515 675 863 927 1545 2025 2575 2589 2781 4315 4635 7725 7767 8343 10609 12945 13905 21575 23175 23301 31827 38835 41715 53045 64725 69525 69903 88889 95481 116505 159135 194175 208575 265225 266667 286443 349515 444445 477405 582525 744769 795675 800001 859329 1333335 1432215 1747575 2222225 2234307 2387025 2400003 3723845 4000005 4296645 6666675 6702921 7161075 7200009 9155567 11171535 12000015 18619225 20000025 20108763 21483225 27466701 33514605 36000045 45777835 55857675 60000075 60326289 76711207 82400103 100543815 137333505 167573025 180000225 228889175 230133621 247200309 301631445 383556035 412000515 502719075 686667525 690400863 741600927 1150668105 1236001545 1508157225 1917780175 2060002575 2071202589 3452004315 3708004635 5753340525 6180007725 6213607767 7901254321 10356012945 17260021575 18540023175 23703762963 31068038835 39506271605 51780064725 71111288889 118518814815 155340194175 197531358025 213333866667 355556444445 592594074075 640001600001 1066669333335 1777782222225 3200008000005 5333346666675 16000040000025