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93971676304 = 2411269672
BaseRepresentation
bin101011110000100100…
…1011111110010010000
322222120001021202202201
41113201021133302100
53014423222120204
6111100415052544
76534464032522
oct1274111376220
9288501252681
1093971676304
113694261a300
1216266b11154
138b279079bc
14479659ba12
15269eda99a4
hex15e125fc90

93971676304 has 45 divisors (see below), whose sum is σ = 200155393011. Its totient is φ = 42708267360.

The previous prime is 93971676287. The next prime is 93971676317. The reversal of 93971676304 is 40367617939.

It is a happy number.

The square root of 93971676304 is 306548.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13484629 + ... + 13491595.

Almost surely, 293971676304 is an apocalyptic number.

93971676304 is the 306548-th square number.

It is an amenable number.

93971676304 is an abundant number, since it is smaller than the sum of its proper divisors (106183716707).

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

93971676304 is an frugal number, since it uses more digits than its factorization.

93971676304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13964 (or 6980 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 55.

The spelling of 93971676304 in words is "ninety-three billion, nine hundred seventy-one million, six hundred seventy-six thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 6967 13934 27868 55736 76637 111472 153274 306548 613096 843007 1226192 1686014 3372028 6744056 13488112 48539089 97078178 194156356 388312712 533929979 776625424 1067859958 2135719916 4271439832 5873229769 8542879664 11746459538 23492919076 46985838152 93971676304