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338180080465960 = 2351132662111521
BaseRepresentation
bin100110011100100101010111…
…1100100001111100000101000
31122100101200220021012020222221
41030321022233210033200220
5323311220301044402320
63155125441220523424
7131142463436662345
oct11471125744174050
91570350807166887
10338180080465960
11988334040a5187
1231b19694850574
1311691324943c45
145d72008c057cc
152916c8ed9d3aa
hex13392af90f828

338180080465960 has 48 divisors (see below), whose sum is σ = 767698446413340. Its totient is φ = 134074934353920.

The previous prime is 338180080465897. The next prime is 338180080465963. The reversal of 338180080465960 is 69564080081833.

It can be written as a sum of positive squares in 6 ways, for example, as 1968470732484 + 336211609733476 = 1403022^2 + 18336074^2 .

It is a super-2 number, since 2×3381800804659602 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338180080465963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330545001 + ... + 331566520.

Almost surely, 2338180080465960 is an apocalyptic number.

It is an amenable number.

338180080465960 is an abundant number, since it is smaller than the sum of its proper divisors (429518365947380).

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

338180080465960 is a wasteful number, since it uses less digits than its factorization.

338180080465960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662111758 (or 662111641 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 61.

The spelling of 338180080465960 in words is "three hundred thirty-eight trillion, one hundred eighty billion, eighty million, four hundred sixty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 113 226 452 565 904 1130 2260 4520 12769 25538 51076 63845 102152 127690 255380 510760 662111521 1324223042 2648446084 3310557605 5296892168 6621115210 13242230420 26484460840 74818601873 149637203746 299274407492 374093009365 598548814984 748186018730 1496372037460 2992744074920 8454502011649 16909004023298 33818008046596 42272510058245 67636016093192 84545020116490 169090040232980 338180080465960