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13480740672 = 263710030313
BaseRepresentation
bin11001000111000001…
…11100011101000000
31021210111101120200120
430203200330131000
5210102032200142
610105403020240
7655031255640
oct144340743500
937714346616
1013480740672
115798587aa3
12274280a680
13136ab72839
1491c54a520
1553d7637ec
hex32383c740

13480740672 has 56 divisors (see below), whose sum is σ = 40763196096. Its totient is φ = 3851639808.

The previous prime is 13480740661. The next prime is 13480740709. The reversal of 13480740672 is 27604708431.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-3 number, since 3×134807406723 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5013813 + ... + 5016500.

It is an arithmetic number, because the mean of its divisors is an integer number (727914216).

Almost surely, 213480740672 is an apocalyptic number.

13480740672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13480740672 is an abundant number, since it is smaller than the sum of its proper divisors (27282455424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13480740672 is a wasteful number, since it uses less digits than its factorization.

13480740672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10030335 (or 10030325 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 13480740672 in words is "thirteen billion, four hundred eighty million, seven hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 10030313 20060626 30090939 40121252 60181878 70212191 80242504 120363756 140424382 160485008 210636573 240727512 280848764 320970016 421273146 481455024 561697528 641940032 842546292 962910048 1123395056 1685092584 1925820096 2246790112 3370185168 4493580224 6740370336 13480740672