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331035426650664 = 2334510857139893
BaseRepresentation
bin100101101000100110011000…
…1000000110111101000101000
31121102002200022001120002110000
41023101030301000313220220
5321342141023210310124
63132015324154023000
7126504343320402201
oct11321146100675050
91542080261502400
10331035426650664
11965293772a545a
1231164a72717a60
1311293678546488
145ba62b32765a8
152840ed01096c9
hex12d1331037a28

331035426650664 has 40 divisors (see below), whose sum is σ = 927205708907610. Its totient is φ = 110345142216672.

The previous prime is 331035426650597. The next prime is 331035426650693. The reversal of 331035426650664 is 466056624530133.

331035426650664 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 3 + 54 + 26 + 6 + 506 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 227855704112100 + 103179722538564 = 15094890^2 + 10157742^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 331035426650664.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 255428569299 + ... + 255428570594.

Almost surely, 2331035426650664 is an apocalyptic number.

It is an amenable number.

331035426650664 is an abundant number, since it is smaller than the sum of its proper divisors (596170282256946).

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

331035426650664 is a wasteful number, since it uses less digits than its factorization.

331035426650664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510857139911 (or 510857139898 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 54.

The spelling of 331035426650664 in words is "three hundred thirty-one trillion, thirty-five billion, four hundred twenty-six million, six hundred fifty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 510857139893 1021714279786 1532571419679 2043428559572 3065142839358 4086857119144 4597714259037 6130285678716 9195428518074 12260571357432 13793142777111 18390857036148 27586285554222 36781714072296 41379428331333 55172571108444 82758856662666 110345142216888 165517713325332 331035426650664