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269928046116 = 223213126612
BaseRepresentation
bin1111101101100011110…
…1110001111000100100
3221210201202020111012100
43323120331301320210
513410303034433431
6324000410452100
725334032351401
oct3733075617044
9853652214170
10269928046116
11a4526388253
1244392434030
131c5b9892861
14d0c93272a8
15704c5c04e6
hex3ed8f71e24

269928046116 has 81 divisors (see below), whose sum is σ = 688608176529. Its totient is φ = 89154093600.

The previous prime is 269928046109. The next prime is 269928046117. The reversal of 269928046116 is 611640829962.

The square root of 269928046116 is 519546.

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

269928046116 is a `hidden beast` number, since 2 + 6 + 9 + 92 + 80 + 461 + 16 = 666.

269928046116 is digitally balanced in base 3, 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., 214326406116 + 55601640000 = 462954^2 + 235800^2 .

It is a super-3 number, since 3×2699280461163 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (269928046117) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 408362826 + ... + 408363486.

Almost surely, 2269928046116 is an apocalyptic number.

269928046116 is the 519546-th square number.

It is an amenable number.

269928046116 is an abundant number, since it is smaller than the sum of its proper divisors (418680130413).

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

269928046116 is an equidigital number, since it uses as much as digits as its factorization.

269928046116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 269928046116 in words is "two hundred sixty-nine billion, nine hundred twenty-eight million, forty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 661 786 1179 1322 1572 1983 2358 2644 3966 4716 5949 7932 11898 17161 23796 34322 51483 68644 86591 102966 154449 173182 205932 259773 308898 346364 436921 519546 617796 779319 873842 1039092 1310763 1558638 1747684 2621526 3117276 3932289 5243052 7864578 11343421 15729156 22686842 34030263 45373684 57236651 68060526 102090789 114473302 136121052 171709953 204181578 228946604 343419906 408363156 515129859 686839812 1030259718 2060519436 7498001281 14996002562 22494003843 29992005124 44988007686 67482011529 89976015372 134964023058 269928046116