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13931436096 = 2632191126631
BaseRepresentation
bin11001111100110000…
…01101100001000000
31022221220110021120200
430332120031201000
5212012421423341
610222223005200
71002143152524
oct147630154100
938856407520
1013931436096
1159a9a29156
122849739800
131410353c16
14962349d84
155680dcdb6
hex33e60d840

13931436096 has 84 divisors (see below), whose sum is σ = 40141330944. Its totient is φ = 4619462400.

The previous prime is 13931436089. The next prime is 13931436107. The reversal of 13931436096 is 69063413931.

13931436096 is a `hidden beast` number, since 1 + 3 + 9 + 31 + 4 + 3 + 609 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46701 + ... + 173331.

Almost surely, 213931436096 is an apocalyptic number.

13931436096 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 13931436096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20070665472).

13931436096 is an abundant number, since it is smaller than the sum of its proper divisors (26209894848).

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

13931436096 is a wasteful number, since it uses less digits than its factorization.

13931436096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126840 (or 126827 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 13931436096 in words is "thirteen billion, nine hundred thirty-one million, four hundred thirty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 191 192 288 382 573 576 764 1146 1528 1719 2292 3056 3438 4584 6112 6876 9168 12224 13752 18336 27504 36672 55008 110016 126631 253262 379893 506524 759786 1013048 1139679 1519572 2026096 2279358 3039144 4052192 4558716 6078288 8104384 9117432 12156576 18234864 24186521 24313152 36469728 48373042 72559563 72939456 96746084 145119126 193492168 217678689 290238252 386984336 435357378 580476504 773968672 870714756 1160953008 1547937344 1741429512 2321906016 3482859024 4643812032 6965718048 13931436096