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132661462162640 = 2456176135722373
BaseRepresentation
bin11110001010011110100111…
…010100111101110011010000
3122101201022102101121120001012
4132022132213110331303100
5114342011133303201030
61150051500120430052
736641321462630225
oct3612364724756320
9571638371546035
10132661462162640
11392a7456a06044
1212a6681b318328
135903bcb108b18
1424a8bc5a3994c
151050c681ba095
hex78a7a753dcd0

132661462162640 has 80 divisors (see below), whose sum is σ = 313906217729616. Its totient is φ = 52126085222400.

The previous prime is 132661462162639. The next prime is 132661462162699. The reversal of 132661462162640 is 46261264166231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 52596261419584 + 80065200743056 = 7252328^2 + 8947916^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14147507 + ... + 21574866.

Almost surely, 2132661462162640 is an apocalyptic number.

132661462162640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132661462162640 is an abundant number, since it is smaller than the sum of its proper divisors (181244755566976).

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

132661462162640 is a wasteful number, since it uses less digits than its factorization.

132661462162640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35723208 (or 35723202 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 50.

The spelling of 132661462162640 in words is "one hundred thirty-two trillion, six hundred sixty-one billion, four hundred sixty-two million, one hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 761 976 1220 1522 2440 3044 3805 4880 6088 7610 12176 15220 30440 46421 60880 92842 185684 232105 371368 464210 742736 928420 1856840 3713680 35722373 71444746 142889492 178611865 285778984 357223730 571557968 714447460 1428894920 2179064753 2857789840 4358129506 8716259012 10895323765 17432518024 21790647530 27184725853 34865036048 43581295060 54369451706 87162590120 108738903412 135923629265 174325180240 217477806824 271847258530 434955613648 543694517060 1087389034120 1658268277033 2174778068240 3316536554066 6633073108132 8291341385165 13266146216264 16582682770330 26532292432528 33165365540660 66330731081320 132661462162640