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72426642736231 = 7310916131201001
BaseRepresentation
bin10000011101111100100100…
…010100000000010001100111
3100111102220211021001020001001
4100131330210110000101213
533443114231020024411
6414012201303014131
721153436503406000
oct2035744424002147
9314386737036031
1072426642736231
1121093a6a736383
12815892813a347
133154a5955c794
1413c567aabc1a7
15858eb33d0dc1
hex41df24500467

72426642736231 has 32 divisors (see below), whose sum is σ = 85290358032000. Its totient is φ = 61472253024000.

The previous prime is 72426642736181. The next prime is 72426642736313. The reversal of 72426642736231 is 13263724662427.

It is not a de Polignac number, because 72426642736231 - 237 = 72289203782759 is a prime.

It is a super-2 number, since 2×724266427362312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72426642736531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59704731 + ... + 60905731.

It is an arithmetic number, because the mean of its divisors is an integer number (2665323688500).

Almost surely, 272426642736231 is an apocalyptic number.

72426642736231 is a deficient number, since it is larger than the sum of its proper divisors (12863715295769).

72426642736231 is a wasteful number, since it uses less digits than its factorization.

72426642736231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202744 (or 1202730 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 55.

The spelling of 72426642736231 in words is "seventy-two trillion, four hundred twenty-six billion, six hundred forty-two million, seven hundred thirty-six thousand, two hundred thirty-one".

Divisors: 1 7 49 109 343 763 1613 5341 11291 37387 79037 175817 553259 1201001 1230719 8407007 8615033 58849049 60305231 130909109 411943343 916363763 1937214613 6414546341 13560502291 44901824387 94923516037 211156392817 664464612259 1478094749719 10346663248033 72426642736231