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13060463007960 = 233251743346110691
BaseRepresentation
bin1011111000001110000001…
…0000100001100011011000
31201020120100010022120112200
42332003200100201203120
53202440312012223320
643435521024410200
72515405306603464
oct276034020414330
951216303276480
1013060463007960
114185a02978565
12156b256776960
1373979a317cc4
143321b61a14a4
15179aec897290
hexbe0e04218d8

13060463007960 has 384 divisors, whose sum is σ = 45149092148160. Its totient is φ = 3262950604800.

The previous prime is 13060463007959. The next prime is 13060463007979. The reversal of 13060463007960 is 6970036406031.

13060463007960 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 0 + 4 + 630 + 0 + 7 + 9 + 6 + 0 = 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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1221626215 + ... + 1221636905.

Almost surely, 213060463007960 is an apocalyptic number.

13060463007960 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 13060463007960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22574546074080).

13060463007960 is an abundant number, since it is smaller than the sum of its proper divisors (32088629140200).

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

13060463007960 is a wasteful number, since it uses less digits than its factorization.

13060463007960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11619 (or 11612 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 13060463007960 in words is "thirteen trillion, sixty billion, four hundred sixty-three million, seven thousand, nine hundred sixty".