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11813874952 = 23118911631297
BaseRepresentation
bin10110000000010100…
…10110110100001000
31010111022220000210011
423000022112310020
5143143322444302
65232140201304
7565521165055
oct130012266410
933438800704
1011813874952
115012696120
122358539234
131163727a69
1480100c02c
154922575d7
hex2c0296d08

11813874952 has 64 divisors (see below), whose sum is σ = 24476126400. Its totient is φ = 5300951040.

The previous prime is 11813874949. The next prime is 11813875009. The reversal of 11813874952 is 25947831811.

It is a junction number, because it is equal to n+sod(n) for n = 11813874896 and 11813874905.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9107968 + ... + 9109264.

It is an arithmetic number, because the mean of its divisors is an integer number (382439475).

Almost surely, 211813874952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11813874952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12238063200).

11813874952 is an abundant number, since it is smaller than the sum of its proper divisors (12662251448).

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

11813874952 is a wasteful number, since it uses less digits than its factorization.

11813874952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566 (or 2562 counting only the distinct ones).

The product of its digits is 483840, while the sum is 49.

The spelling of 11813874952 in words is "eleven billion, eight hundred thirteen million, eight hundred seventy-four thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 89 178 356 712 979 1163 1297 1958 2326 2594 3916 4652 5188 7832 9304 10376 12793 14267 25586 28534 51172 57068 102344 103507 114136 115433 207014 230866 414028 461732 828056 923464 1138577 1269763 1508411 2277154 2539526 3016822 4554308 5079052 6033644 9108616 10158104 12067288 16592521 33185042 66370084 132740168 134248579 268497158 536994316 1073988632 1476734369 2953468738 5906937476 11813874952