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31334065164 = 2233290130233
BaseRepresentation
bin11101001011101001…
…111110010000001100
32222212201120102202000
4131023221332100030
51003133010041124
622221125432300
72156326105443
oct351351762014
988781512660
1031334065164
111231a298a26
1260a586b690
132c5489947c
1417336b5d5a
15c35ce76c9
hex74ba7e40c

31334065164 has 24 divisors (see below), whose sum is σ = 81236465520. Its totient is φ = 10444688352.

The previous prime is 31334065159. The next prime is 31334065171. The reversal of 31334065164 is 46156043313.

31334065164 is a `hidden beast` number, since 3 + 133 + 4 + 0 + 6 + 516 + 4 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 145065009 + ... + 145065224.

It is an arithmetic number, because the mean of its divisors is an integer number (3384852730).

Almost surely, 231334065164 is an apocalyptic number.

It is an amenable number.

31334065164 is an abundant number, since it is smaller than the sum of its proper divisors (49902400356).

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

31334065164 is a wasteful number, since it uses less digits than its factorization.

31334065164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290130246 (or 290130238 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 31334065164 in words is "thirty-one billion, three hundred thirty-four million, sixty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 290130233 580260466 870390699 1160520932 1740781398 2611172097 3481562796 5222344194 7833516291 10444688388 15667032582 31334065164