Search a number
-
+
132153646522656 = 25311374771964059
BaseRepresentation
bin11110000011000101101011…
…001010000010000100100000
3122022220202122211220012022010
4132003011223022002010200
5114310201132002211111
61145022314101112520
736556533362125263
oct3603055312020440
9568822584805263
10132153646522656
1139121057250650
12129a43189b8740
13589805c9b7505
14248c3b081ccda
151042946356aa6
hex78316b282120

132153646522656 has 192 divisors, whose sum is σ = 396937635010560. Its totient is φ = 38135193615360.

The previous prime is 132153646522621. The next prime is 132153646522657. The reversal of 132153646522656 is 656225646351231.

It is a junction number, because it is equal to n+sod(n) for n = 132153646522596 and 132153646522605.

It is not an unprimeable number, because it can be changed into a prime (132153646522657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34145646 + ... + 37818413.

It is an arithmetic number, because the mean of its divisors is an integer number (2067383515680).

Almost surely, 2132153646522656 is an apocalyptic number.

132153646522656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132153646522656 is an abundant number, since it is smaller than the sum of its proper divisors (264783988487904).

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

132153646522656 is a wasteful number, since it uses less digits than its factorization.

132153646522656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71964167 (or 71964159 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 57.

The spelling of 132153646522656 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, six hundred forty-six million, five hundred twenty-two thousand, six hundred fifty-six".