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132727417320 = 23356831619417
BaseRepresentation
bin111101110011100101…
…0111010100111101000
3110200121000001101211010
41323213022322213220
54133311204323240
6140550225103520
712406052301231
oct1734712724750
9420530041733
10132727417320
1151320192133
1221882187ba0
13c692c6a834
1465d17d8088
1536bc512280
hex1ee72ba9e8

132727417320 has 64 divisors (see below), whose sum is σ = 398765488320. Its totient is φ = 35342134784.

The previous prime is 132727417313. The next prime is 132727417349. The reversal of 132727417320 is 23714727231.

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, 727749 + ... + 891668.

It is an arithmetic number, because the mean of its divisors is an integer number (6230710755).

Almost surely, 2132727417320 is an apocalyptic number.

132727417320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132727417320 is an abundant number, since it is smaller than the sum of its proper divisors (266038071000).

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

132727417320 is a wasteful number, since it uses less digits than its factorization.

132727417320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620114 (or 1620110 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The spelling of 132727417320 in words is "one hundred thirty-two billion, seven hundred twenty-seven million, four hundred seventeen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 683 1366 2049 2732 3415 4098 5464 6830 8196 10245 13660 16392 20490 27320 40980 81960 1619417 3238834 4858251 6477668 8097085 9716502 12955336 16194170 19433004 24291255 32388340 38866008 48582510 64776680 97165020 194330040 1106061811 2212123622 3318185433 4424247244 5530309055 6636370866 8848494488 11060618110 13272741732 16590927165 22121236220 26545483464 33181854330 44242472440 66363708660 132727417320