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14745715015680 = 216325112319763
BaseRepresentation
bin1101011010010100000100…
…0110110000000000000000
31221012200021020021202200100
43112211001012300000000
53413043211021000210
651210030555522400
73051225364403145
oct326450106600000
957180236252610
1014745715015680
114775693785180
1217a199a159400
1382c69049ac0c
1438d9a6d683cc
151a88835805c0
hexd69411b0000

14745715015680 has 816 divisors, whose sum is σ = 58192705449216. Its totient is φ = 3419123220480.

The previous prime is 14745715015679. The next prime is 14745715015693. The reversal of 14745715015680 is 8651051754741.

14745715015680 is a `hidden beast` number, since 1 + 4 + 7 + 4 + 5 + 7 + 1 + 501 + 56 + 80 = 666.

It is a super-2 number, since 2×147457150156802 (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 746117479 + ... + 746137241.

Almost surely, 214745715015680 is an apocalyptic number.

14745715015680 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 14745715015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29096352724608).

14745715015680 is an abundant number, since it is smaller than the sum of its proper divisors (43446990433536).

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

14745715015680 is a wasteful number, since it uses less digits than its factorization.

14745715015680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19840 (or 19807 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 14745715015680 in words is "fourteen trillion, seven hundred forty-five billion, seven hundred fifteen million, fifteen thousand, six hundred eighty".