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13957104896 = 28766111783
BaseRepresentation
bin11001111111110100…
…01000010100000000
31100000200202101112222
430333322020110000
5212041004324041
610224541110212
71002604301630
oct147772102400
940020671488
1013957104896
115a12470539
122856258368
131415770667
1496590c6c0
1556a4ad74b
hex33fe88500

13957104896 has 72 divisors (see below), whose sum is σ = 31890520704. Its totient is φ = 5972060160.

The previous prime is 13957104877. The next prime is 13957104901. The reversal of 13957104896 is 69840175931.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1178621 + ... + 1190403.

Almost surely, 213957104896 is an apocalyptic number.

13957104896 is a gapful number since it is divisible by the number (16) 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 13957104896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15945260352).

13957104896 is an abundant number, since it is smaller than the sum of its proper divisors (17933415808).

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

13957104896 is an equidigital number, since it uses as much as digits as its factorization.

13957104896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12467 (or 12453 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 53.

The spelling of 13957104896 in words is "thirteen billion, nine hundred fifty-seven million, one hundred four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 661 896 1322 1792 2644 4627 5288 9254 10576 11783 18508 21152 23566 37016 42304 47132 74032 82481 84608 94264 148064 164962 169216 188528 296128 329924 377056 592256 659848 754112 1184512 1319696 1508224 2639392 3016448 5278784 7788563 10557568 15577126 21115136 31154252 54519941 62308504 109039882 124617008 218079764 249234016 436159528 498468032 872319056 996936064 1744638112 1993872128 3489276224 6978552448 13957104896