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13980074472 = 2334713793001
BaseRepresentation
bin11010000010100011…
…10000000111101000
31100002021222100220000
431001101300013220
5212112344340342
610231121303000
71003303446420
oct150121600750
940067870800
1013980074472
115a24429961
122861a94a60
13141a453620
149689ab480
1556c4e944c
hex3414701e8

13980074472 has 320 divisors, whose sum is σ = 48819724800. Its totient is φ = 3639168000.

The previous prime is 13980074461. The next prime is 13980074501. The reversal of 13980074472 is 27447008931.

13980074472 is a `hidden beast` number, since 1 + 39 + 80 + 0 + 74 + 472 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4656972 + ... + 4659972.

It is an arithmetic number, because the mean of its divisors is an integer number (152561640).

Almost surely, 213980074472 is an apocalyptic number.

13980074472 is a gapful number since it is divisible by the number (12) 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 13980074472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24409862400).

13980074472 is an abundant number, since it is smaller than the sum of its proper divisors (34839650328).

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

13980074472 is a wasteful number, since it uses less digits than its factorization.

13980074472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 13980074472 in words is "thirteen billion, nine hundred eighty million, seventy-four thousand, four hundred seventy-two".