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132304837947168 = 25317269301372271
BaseRepresentation
bin11110000101010010011110…
…110111100010111100100000
3122100110012220122020100100110
4132011102132313202330200
5114320140302003302133
61145220000430051320
736603465136050345
oct3605223667427440
9570405818210313
10132304837947168
113917a191928657
1212a09692649b40
1358a93a6047a93
14249583450a7cc
15104684482ac63
hex78549ede2f20

132304837947168 has 96 divisors (see below), whose sum is σ = 369096648963840. Its totient is φ = 41353097400320.

The previous prime is 132304837947167. The next prime is 132304837947169. The reversal of 132304837947168 is 861749738403231.

132304837947168 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132304837947167) and next prime (132304837947169).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 132304837947099 and 132304837947108.

It is not an unprimeable number, because it can be changed into a prime (132304837947167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150247128 + ... + 151125143.

It is an arithmetic number, because the mean of its divisors is an integer number (3844756760040).

Almost surely, 2132304837947168 is an apocalyptic number.

It is an amenable number.

132304837947168 is an abundant number, since it is smaller than the sum of its proper divisors (236791811016672).

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

132304837947168 is a wasteful number, since it uses less digits than its factorization.

132304837947168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301372570 (or 301372562 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 66.

The spelling of 132304837947168 in words is "one hundred thirty-two trillion, three hundred four billion, eight hundred thirty-seven million, nine hundred forty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 269 272 408 538 544 807 816 1076 1614 1632 2152 3228 4304 4573 6456 8608 9146 12912 13719 18292 25824 27438 36584 54876 73168 109752 146336 219504 439008 301372271 602744542 904116813 1205489084 1808233626 2410978168 3616467252 4821956336 5123328607 7232934504 9643912672 10246657214 14465869008 15369985821 20493314428 28931738016 30739971642 40986628856 61479943284 81069140899 81973257712 122959886568 162138281798 163946515424 243207422697 245919773136 324276563596 486414845394 491839546272 648553127192 972829690788 1297106254384 1378175395283 1945659381576 2594212508768 2756350790566 3891318763152 4134526185849 5512701581132 7782637526304 8269052371698 11025403162264 16538104743396 22050806324528 33076209486792 44101612649056 66152418973584 132304837947168