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31260540066 = 23717311140779
BaseRepresentation
bin11101000111010001…
…011111110010100010
32222200121012222021020
4131013101133302202
51003010144240231
622205541510310
72154444130530
oct350721376242
988617188236
1031260540066
111229183a488
126085112396
132c425952b2
141727a17150
15c2e622396
hex74745fca2

31260540066 has 64 divisors (see below), whose sum is σ = 75899566080. Its totient is φ = 8379106560.

The previous prime is 31260540061. The next prime is 31260540119. The reversal of 31260540066 is 66004506213.

It is not an unprimeable number, because it can be changed into a prime (31260540061) 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, 151665 + ... + 292443.

It is an arithmetic number, because the mean of its divisors is an integer number (1185930720).

Almost surely, 231260540066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31260540066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37949783040).

31260540066 is an abundant number, since it is smaller than the sum of its proper divisors (44639026014).

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

31260540066 is a wasteful number, since it uses less digits than its factorization.

31260540066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141119.

The product of its (nonzero) digits is 25920, while the sum is 33.

The spelling of 31260540066 in words is "thirty-one billion, two hundred sixty million, five hundred forty thousand, sixty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 311 357 622 714 933 1866 2177 4354 5287 6531 10574 13062 15861 31722 37009 74018 111027 140779 222054 281558 422337 844674 985453 1970906 2393243 2956359 4786486 5912718 7179729 14359458 16752701 33505402 43782269 50258103 87564538 100516206 131346807 262693614 306475883 612951766 744298573 919427649 1488597146 1838855298 2232895719 4465791438 5210090011 10420180022 15630270033 31260540066