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13370916706560 = 283457193121009
BaseRepresentation
bin1100001010010010100010…
…1111011001100100000000
31202100020200011201111220000
43002210220233121210000
53223032114134102220
644234303032520000
72550005531523420
oct302445057314400
952306604644800
1013370916706560
1142956349a1296
1215bb458b50000
1375cb44b2738a
14343227808480
15182c1cb83390
hexc2928bd9900

13370916706560 has 2160 divisors, whose sum is σ = 59531678236800. Its totient is φ = 2799180840960.

The previous prime is 13370916706501. The next prime is 13370916706561. The reversal of 13370916706560 is 6560761907331.

13370916706560 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 0 + 9 + 1 + 6 + 70 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13370916706497 and 13370916706506.

It is not an unprimeable number, because it can be changed into a prime (13370916706561) by changing a digit.

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 239 ways as a sum of consecutive naturals, for example, 13251651336 + ... + 13251652344.

Almost surely, 213370916706560 is an apocalyptic number.

13370916706560 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 13370916706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29765839118400).

13370916706560 is an abundant number, since it is smaller than the sum of its proper divisors (46160761530240).

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

13370916706560 is a wasteful number, since it uses less digits than its factorization.

13370916706560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 13370916706560 in words is "thirteen trillion, three hundred seventy billion, nine hundred sixteen million, seven hundred six thousand, five hundred sixty".