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84464002802664 = 23322753894259833
BaseRepresentation
bin10011001101000111001110…
…111000100010001111101000
3102002001200100120200100021200
4103031013032320202033220
542032324234204141124
6455350121025004200
723535215504641002
oct2315071670421750
9362050316610250
1084464002802664
1124a04a89679041
129581833783660
133818bc90b9444
1416c01183cd372
159b718116abc9
hex4cd1cee223e8

84464002802664 has 48 divisors (see below), whose sum is σ = 228757558625700. Its totient is φ = 28154558755584.

The previous prime is 84464002802651. The next prime is 84464002802677. The reversal of 84464002802664 is 46620820046448.

84464002802664 is a `hidden beast` number, since 8 + 44 + 64 + 0 + 0 + 280 + 266 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (84464002802651) and next prime (84464002802677).

It can be written as a sum of positive squares in 2 ways, for example, as 80375348952900 + 4088653849764 = 8965230^2 + 2022042^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 84464002802664.

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 11 ways as a sum of consecutive naturals, for example, 17698092 + ... + 21957924.

Almost surely, 284464002802664 is an apocalyptic number.

It is an amenable number.

84464002802664 is an abundant number, since it is smaller than the sum of its proper divisors (144293555823036).

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

84464002802664 is a wasteful number, since it uses less digits than its factorization.

84464002802664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535234 (or 4535227 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 54.

The spelling of 84464002802664 in words is "eighty-four trillion, four hundred sixty-four billion, two million, eight hundred two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 275389 550778 826167 1101556 1652334 2203112 2478501 3304668 4259833 4957002 6609336 8519666 9914004 12779499 17039332 19828008 25558998 34078664 38338497 51117996 76676994 102235992 153353988 306707976 1173111150037 2346222300074 3519333450111 4692444600148 7038666900222 9384889200296 10558000350333 14077333800444 21116000700666 28154667600888 42232001401332 84464002802664