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168820334592 = 21337131929137
BaseRepresentation
bin1001110100111001111…
…0011110000000000000
3121010202101020120101220
42131032132132000000
510231221001201332
6205315513355040
715124345111260
oct2351636360000
9533671216356
10168820334592
1165661750088
1228875708a80
1312bc5732410
14825711b7a0
1545d0ec9d2c
hex274e79e000

168820334592 has 896 divisors, whose sum is σ = 607717555200. Its totient is φ = 40428896256.

The previous prime is 168820334549. The next prime is 168820334593. The reversal of 168820334592 is 295433028861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168820334593) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1232265148 + ... + 1232265284.

It is an arithmetic number, because the mean of its divisors is an integer number (678256200).

Almost surely, 2168820334592 is an apocalyptic number.

168820334592 is a gapful number since it is divisible by the number (12) 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 168820334592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303858777600).

168820334592 is an abundant number, since it is smaller than the sum of its proper divisors (438897220608).

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

168820334592 is a wasteful number, since it uses less digits than its factorization.

168820334592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 168820334592 in words is "one hundred sixty-eight billion, eight hundred twenty million, three hundred thirty-four thousand, five hundred ninety-two".