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64536520502142 = 232134157503116981
BaseRepresentation
bin11101010110010000101000…
…11000010010101101111110
322110111122001002001122220100
432223020110120102231332
531424331243222032032
6345131400200501530
716410416066112333
oct1653102430225576
9273448032048810
1064536520502142
111962186a3a5a47
1272a373a17a8a6
132a019c9a38770
1411d18272c498a
1576db2296a97c
hex3ab214612b7e

64536520502142 has 96 divisors (see below), whose sum is σ = 154262025904896. Its totient is φ = 19372561804800.

The previous prime is 64536520502123. The next prime is 64536520502159. The reversal of 64536520502142 is 24120502563546.

64536520502142 is a `hidden beast` number, since 6 + 4 + 5 + 36 + 520 + 50 + 2 + 1 + 42 = 666.

64536520502142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551625292 + ... + 551742272.

It is an arithmetic number, because the mean of its divisors is an integer number (1606896103176).

Almost surely, 264536520502142 is an apocalyptic number.

64536520502142 is an abundant number, since it is smaller than the sum of its proper divisors (89725505402754).

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

64536520502142 is a wasteful number, since it uses less digits than its factorization.

64536520502142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174546 (or 174543 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 64536520502142 in words is "sixty-four trillion, five hundred thirty-six billion, five hundred twenty million, five hundred two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1066 1599 3198 4797 9594 57503 115006 116981 172509 233962 345018 350943 517527 701886 747539 1035054 1052829 1495078 1520753 2105658 2242617 2357623 3041506 4485234 4562259 4715246 4796221 6727851 7072869 9124518 9592442 13455702 13686777 14145738 14388663 21218607 27373554 28777326 30649099 42437214 43165989 61298198 62350873 86331978 91947297 124701746 183894594 187052619 275841891 374105238 551683782 561157857 1122315714 6726758443 13453516886 20180275329 40360550658 60540825987 87447859759 121081651974 174895719518 262343579277 275797096163 524687158554 551594192326 787030737831 827391288489 1574061475662 1654782576978 2482173865467 3585362250119 4964347730934 7170724500238 10756086750357 21512173500714 32268260251071 64536520502142