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132516067713000 = 2335370163012871
BaseRepresentation
bin11110001000010111001101…
…001001001001111111101000
3122101012102010121022020112220
4132020113031021021333220
5114332120401313304000
61145501012513034040
736624653456326416
oct3610271511117750
9571172117266486
10132516067713000
11392508265a0064
1212a42602b55920
1358c3299a6b0ba
1424a1b51bcc2b6
15104c0a8ac81a0
hex7885cd249fe8

132516067713000 has 128 divisors (see below), whose sum is σ = 414039938307840. Its totient is φ = 35287207200000.

The previous prime is 132516067712929. The next prime is 132516067713011. The reversal of 132516067713000 is 317760615231.

132516067713000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29403436 + ... + 33609435.

It is an arithmetic number, because the mean of its divisors is an integer number (3234687018030).

Almost surely, 2132516067713000 is an apocalyptic number.

132516067713000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132516067713000 is an abundant number, since it is smaller than the sum of its proper divisors (281523870594840).

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

132516067713000 is a wasteful number, since it uses less digits than its factorization.

132516067713000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63013596 (or 63013582 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 132516067713000 in words is "one hundred thirty-two trillion, five hundred sixteen billion, sixty-seven million, seven hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 701 750 1000 1402 1500 2103 2804 3000 3505 4206 5608 7010 8412 10515 14020 16824 17525 21030 28040 35050 42060 52575 70100 84120 87625 105150 140200 175250 210300 262875 350500 420600 525750 701000 1051500 2103000 63012871 126025742 189038613 252051484 315064355 378077226 504102968 630128710 756154452 945193065 1260257420 1512308904 1575321775 1890386130 2520514840 3150643550 3780772260 4725965325 6301287100 7561544520 7876608875 9451930650 12602574200 15753217750 18903861300 23629826625 31506435500 37807722600 44172022571 47259653250 63012871000 88344045142 94519306500 132516067713 176688090284 189038613000 220860112855 265032135426 353376180568 441720225710 530064270852 662580338565 883440451420 1060128541704 1104300564275 1325160677130 1766880902840 2208601128550 2650321354260 3312901692825 4417202257100 5300642708520 5521502821375 6625803385650 8834404514200 11043005642750 13251606771300 16564508464125 22086011285500 26503213542600 33129016928250 44172022571000 66258033856500 132516067713000