Search a number
-
+
132523505150120 = 2357607779733497
BaseRepresentation
bin11110001000011110001000…
…011100101110100010101000
3122101020010022221011012020222
4132020132020130232202220
5114332231114304300440
61145504242515105212
736625335666442520
oct3610361034564250
9571203287135228
10132523505150120
11392539a285a707
1212a43b398a2208
1358c3bb3892776
1424a2259896680
15104c3919ed2b5
hex78878872e8a8

132523505150120 has 64 divisors (see below), whose sum is σ = 341336136084480. Its totient is φ = 45361775863296.

The previous prime is 132523505150087. The next prime is 132523505150123. The reversal of 132523505150120 is 21051505325231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (132523505150123) 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, 389696789 + ... + 390036708.

It is an arithmetic number, because the mean of its divisors is an integer number (5333377126320).

Almost surely, 2132523505150120 is an apocalyptic number.

132523505150120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132523505150120 is an abundant number, since it is smaller than the sum of its proper divisors (208812630934360).

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

132523505150120 is a wasteful number, since it uses less digits than its factorization.

132523505150120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779734122 (or 779734118 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 35.

The spelling of 132523505150120 in words is "one hundred thirty-two trillion, five hundred twenty-three billion, five hundred five million, one hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 607 1214 2428 3035 4249 4856 6070 8498 12140 16996 21245 24280 33992 42490 84980 169960 779733497 1559466994 3118933988 3898667485 5458134479 6237867976 7797334970 10916268958 15594669940 21832537916 27290672395 31189339880 43665075832 54581344790 109162689580 218325379160 473298232679 946596465358 1893192930716 2366491163395 3313087628753 3786385861432 4732982326790 6626175257506 9465964653580 13252350515012 16565438143765 18931929307160 26504701030024 33130876287530 66261752575060 132523505150120