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326413897168800 = 253527233685712161
BaseRepresentation
bin100101000110111110010100…
…0011000111111011110100000
31120210201212022201111100002110
41022031330220120333132200
5320240431130133400200
63114120250234115320
7125516424443066250
oct11215745030773640
91523655281440073
10326413897168800
11950073a13a4981
123073924987bb40
13110199105a047c
145a867345d1960
1527b0b94145b50
hex128df2863f7a0

326413897168800 has 576 divisors, whose sum is σ = 1219749247551744. Its totient is φ = 74271739084800.

The previous prime is 326413897168787. The next prime is 326413897168817. The reversal of 326413897168800 is 8861798314623.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26841034720 + ... + 26841046880.

It is an arithmetic number, because the mean of its divisors is an integer number (2117620221444).

Almost surely, 2326413897168800 is an apocalyptic number.

326413897168800 is a gapful number since it is divisible by the number (30) 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 326413897168800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609874623775872).

326413897168800 is an abundant number, since it is smaller than the sum of its proper divisors (893335350382944).

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

326413897168800 is a wasteful number, since it uses less digits than its factorization.

326413897168800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19281 (or 19268 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 66.

The spelling of 326413897168800 in words is "three hundred twenty-six trillion, four hundred thirteen billion, eight hundred ninety-seven million, one hundred sixty-eight thousand, eight hundred".