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11323696874112 = 273271404228283
BaseRepresentation
bin1010010011001000000011…
…1011100000001010000000
31111002112102220102122012200
42210302000323200022000
52441011412344432422
640030011242553200
72246052523210350
oct244620073401200
944075386378180
1011323696874112
11367639774a497
12132a737208800
13641a877c845c
142b20d9968b60
1514984e42e2ac
hexa4c80ee0280

11323696874112 has 96 divisors (see below), whose sum is σ = 37240134091680. Its totient is φ = 3235341961728.

The previous prime is 11323696874111. The next prime is 11323696874141. The reversal of 11323696874112 is 21147869632311.

11323696874112 is a `hidden beast` number, since 1 + 1 + 32 + 36 + 96 + 87 + 411 + 2 = 666.

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

It is a super-2 number, since 2×113236968741122 (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11323696874111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 702106078 + ... + 702122205.

It is an arithmetic number, because the mean of its divisors is an integer number (387918063455).

Almost surely, 211323696874112 is an apocalyptic number.

11323696874112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11323696874112 is an abundant number, since it is smaller than the sum of its proper divisors (25916437217568).

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

11323696874112 is a wasteful number, since it uses less digits than its factorization.

11323696874112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404228310 (or 1404228295 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 11323696874112 in words is "eleven trillion, three hundred twenty-three billion, six hundred ninety-six million, eight hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 1404228283 2808456566 4212684849 5616913132 8425369698 9829597981 11233826264 12638054547 16850739396 19659195962 22467652528 25276109094 29488793943 33701478792 39318391924 44935305056 50552218188 58977587886 67402957584 78636783848 88466381829 89870610112 101104436376 117955175772 134805915168 157273567696 176932763658 179741220224 202208872752 235910351544 269611830336 314547135392 353865527316 404417745504 471820703088 539223660672 629094270784 707731054632 808835491008 943641406176 1258188541568 1415462109264 1617670982016 1887282812352 2830924218528 3774565624704 5661848437056 11323696874112