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84655455648 = 25373108711113
BaseRepresentation
bin100111011010111011…
…0111011110110100000
322002111210011201120020
41032311312323312200
52341333244040043
6102520140113440
76054561333411
oct1166566736640
9262453151506
1084655455648
11329a1885895
12144a6b35880
137ca179a7ba
14415118d808
152307067e83
hex13b5dbbda0

84655455648 has 96 divisors (see below), whose sum is σ = 225492212736. Its totient is φ = 27803824128.

The previous prime is 84655455623. The next prime is 84655455659.

84655455648 is nontrivially palindromic in base 10.

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 = 84655455591 and 84655455600.

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, 7612140 + ... + 7623252.

It is an arithmetic number, because the mean of its divisors is an integer number (2348877216).

Almost surely, 284655455648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84655455648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112746106368).

84655455648 is an abundant number, since it is smaller than the sum of its proper divisors (140836757088).

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

84655455648 is a wasteful number, since it uses less digits than its factorization.

84655455648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12286 (or 12278 counting only the distinct ones).

The product of its digits is 92160000, while the sum is 60.

The spelling of 84655455648 in words is "eighty-four billion, six hundred fifty-five million, four hundred fifty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1087 1168 1752 2174 2336 3261 3504 4348 6522 7008 8696 11113 13044 17392 22226 26088 33339 34784 44452 52176 66678 79351 88904 104352 133356 158702 177808 238053 266712 317404 355616 476106 533424 634808 811249 952212 1066848 1269616 1622498 1904424 2433747 2539232 3244996 3808848 4867494 6489992 7617696 9734988 12079831 12979984 19469976 24159662 25959968 36239493 38939952 48319324 72478986 77879904 96638648 144957972 193277296 289915944 386554592 579831888 881827663 1159663776 1763655326 2645482989 3527310652 5290965978 7054621304 10581931956 14109242608 21163863912 28218485216 42327727824 84655455648