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31461045660 = 223251115889417
BaseRepresentation
bin11101010011001110…
…010111010110011100
310000012120111201020100
4131103032113112130
51003413011430120
622241503221100
72162430322122
oct352316272634
9100176451210
1031461045660
1112384a38290
1261202a7790
132c74c98765
1417464cb912
15c4202b490
hex75339759c

31461045660 has 72 divisors (see below), whose sum is σ = 104107466736. Its totient is φ = 7626919680.

The previous prime is 31461045659. The next prime is 31461045677. The reversal of 31461045660 is 6654016413.

It is a happy number.

31461045660 is a `hidden beast` number, since 3 + 146 + 1 + 0 + 456 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7942729 + ... + 7946688.

It is an arithmetic number, because the mean of its divisors is an integer number (1445937038).

Almost surely, 231461045660 is an apocalyptic number.

31461045660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31461045660 is an abundant number, since it is smaller than the sum of its proper divisors (72646421076).

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

31461045660 is a wasteful number, since it uses less digits than its factorization.

31461045660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15889443 (or 15889438 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 31461045660 in words is "thirty-one billion, four hundred sixty-one million, forty-five thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 15889417 31778834 47668251 63557668 79447085 95336502 143004753 158894170 174783587 190673004 238341255 286009506 317788340 349567174 476682510 524350761 572019012 699134348 715023765 873917935 953365020 1048701522 1430047530 1573052283 1747835870 2097403044 2621753805 2860095060 3146104566 3495671740 5243507610 6292209132 7865261415 10487015220 15730522830 31461045660