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11725428096 = 273231328333
BaseRepresentation
bin10101110101110001…
…11101010110000000
31010021011110110111200
422322320331112000
5143003202144341
65215300341200
7563365331364
oct127270752600
933234413450
1011725428096
114a77775748
1223329a4800
13114b2caa45
147d33872a4
154895d5db6
hex2bae3d580

11725428096 has 96 divisors (see below), whose sum is σ = 34829670720. Its totient is φ = 3782384640.

The previous prime is 11725428089. The next prime is 11725428101. The reversal of 11725428096 is 69082452711.

11725428096 is a `hidden beast` number, since 1 + 17 + 2 + 542 + 8 + 0 + 96 = 666.

11725428096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128455 + ... + 199878.

It is an arithmetic number, because the mean of its divisors is an integer number (362809070).

Almost surely, 211725428096 is an apocalyptic number.

11725428096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11725428096 is an abundant number, since it is smaller than the sum of its proper divisors (23104242624).

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

11725428096 is a wasteful number, since it uses less digits than its factorization.

11725428096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328384 (or 328369 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11725428096 in words is "eleven billion, seven hundred twenty-five million, four hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 128 144 186 192 248 279 288 372 384 496 558 576 744 992 1116 1152 1488 1984 2232 2976 3968 4464 5952 8928 11904 17856 35712 328333 656666 984999 1313332 1969998 2626664 2954997 3939996 5253328 5909994 7879992 10178323 10506656 11819988 15759984 20356646 21013312 23639976 30534969 31519968 40713292 42026624 47279952 61069938 63039936 81426584 91604907 94559904 122139876 126079872 162853168 183209814 189119808 244279752 325706336 366419628 378239616 488559504 651412672 732839256 977119008 1302825344 1465678512 1954238016 2931357024 3908476032 5862714048 11725428096