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11903963904 = 283371923563
BaseRepresentation
bin10110001011000100…
…00001001100000000
31010201121102000121000
423011202001030000
5143334403321104
65245115132000
7600664011060
oct130542011400
933647360530
1011903963904
1150595282a8
122382744000
1311792ab331
1480cd7d3a0
1549a100639
hex2c5881300

11903963904 has 576 divisors, whose sum is σ = 44268134400. Its totient is φ = 3076558848.

The previous prime is 11903963857. The next prime is 11903963909. The reversal of 11903963904 is 40936930911.

11903963904 is a `hidden beast` number, since 1 + 1 + 9 + 0 + 3 + 9 + 639 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 11903963904.

It is not an unprimeable number, because it can be changed into a prime (11903963909) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21143527 + ... + 21144089.

It is an arithmetic number, because the mean of its divisors is an integer number (76854400).

Almost surely, 211903963904 is an apocalyptic number.

11903963904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11903963904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22134067200).

11903963904 is an abundant number, since it is smaller than the sum of its proper divisors (32364170496).

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

11903963904 is a wasteful number, since it uses less digits than its factorization.

11903963904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 11903963904 in words is "eleven billion, nine hundred three million, nine hundred sixty-three thousand, nine hundred four".