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65880472713984 = 28321719971575813
BaseRepresentation
bin11101111101010111111100…
…01011000111101100000000
322122021010000102020211001100
432332223332023013230000
532113341202003321414
6352041023224534400
716606464346325235
oct1676537613075400
9278233012224040
1065880472713984
1119a9a82a38a455
1274800b1021400
132a9b66a944436
14123a8bbcb178c
15793a8030d609
hex3beafe2c7b00

65880472713984 has 864 divisors, whose sum is σ = 215290538124480. Its totient is φ = 19251968606208.

The previous prime is 65880472713983. The next prime is 65880472713989. The reversal of 65880472713984 is 48931727408856.

It is a happy number.

65880472713984 is a `hidden beast` number, since 6 + 5 + 8 + 8 + 0 + 472 + 71 + 3 + 9 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (65880472713983) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11333297062 + ... + 11333302874.

It is an arithmetic number, because the mean of its divisors is an integer number (249178863570).

It is a 2-persistent number, because it is pandigital, and so is 2⋅65880472713984 = 131760945427968, but 3⋅65880472713984 = 197641418141952 is not.

Almost surely, 265880472713984 is an apocalyptic number.

65880472713984 is a gapful number since it is divisible by the number (64) 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 65880472713984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107645269062240).

65880472713984 is an abundant number, since it is smaller than the sum of its proper divisors (149410065410496).

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

65880472713984 is a wasteful number, since it uses less digits than its factorization.

65880472713984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6125 (or 6108 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 65880472713984 in words is "sixty-five trillion, eight hundred eighty billion, four hundred seventy-two million, seven hundred thirteen thousand, nine hundred eighty-four".