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13974491520 = 2733511371987
BaseRepresentation
bin11010000001111000…
…11101000110000000
31100001220110201112000
431000330131012000
5212104432212040
610230401504000
71003205134533
oct150074350600
940056421460
1013974491520
115a21266350
122860042000
13141924a3c2
14967d56a1a
1556bc95130
hex340f1d180

13974491520 has 512 divisors, whose sum is σ = 55479513600. Its totient is φ = 3294535680.

The previous prime is 13974491467. The next prime is 13974491533. The reversal of 13974491520 is 2519447931.

13974491520 is a `hidden beast` number, since 1 + 39 + 7 + 4 + 4 + 91 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 7031967 + ... + 7033953.

It is an arithmetic number, because the mean of its divisors is an integer number (108358425).

Almost surely, 213974491520 is an apocalyptic number.

13974491520 is a gapful number since it is divisible by the number (10) 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 13974491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27739756800).

13974491520 is an abundant number, since it is smaller than the sum of its proper divisors (41505022080).

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

13974491520 is a wasteful number, since it uses less digits than its factorization.

13974491520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 13974491520 in words is "thirteen billion, nine hundred seventy-four million, four hundred ninety-one thousand, five hundred twenty".