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864470074468 = 22711131911363243
BaseRepresentation
bin11001001010001100110…
…11101000010001100100
310001122100101221212010111
430211012123220101210
5103130413314340333
61501044305502404
7116312242251550
oct14450633502144
93048311855114
10864470074468
1130368a902980
1211b659341a04
1363699833230
142dbaa774860
15177481c14cd
hexc9466e8464

864470074468 has 96 divisors (see below), whose sum is σ = 2138107991040. Its totient is φ = 294535232640.

The previous prime is 864470074459. The next prime is 864470074469.

It is a happy number.

864470074468 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (864470074469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5605546 + ... + 5757697.

It is an arithmetic number, because the mean of its divisors is an integer number (22271958240).

Almost surely, 2864470074468 is an apocalyptic number.

It is an amenable number.

864470074468 is an abundant number, since it is smaller than the sum of its proper divisors (1273637916572).

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

864470074468 is a wasteful number, since it uses less digits than its factorization.

864470074468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11363297 (or 11363295 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 58.

The spelling of 864470074468 in words is "eight hundred sixty-four billion, four hundred seventy million, seventy-four thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 11 13 14 19 22 26 28 38 44 52 76 77 91 133 143 154 182 209 247 266 286 308 364 418 494 532 572 836 988 1001 1463 1729 2002 2717 2926 3458 4004 5434 5852 6916 10868 19019 38038 76076 11363243 22726486 45452972 79542701 124995673 147722159 159085402 215901617 249991346 295444318 318170804 431803234 499982692 590888636 863606468 874969711 1034055113 1511311319 1624943749 1749939422 2068110226 2374917787 2806721021 3022622638 3249887498 3499878844 4136220452 4749835574 5613442042 6045245276 6499774996 9499671148 11226884084 11374606243 16624424509 19647047147 22749212486 30873931231 33248849018 39294094294 45498424972 61747862462 66497698036 78588188588 123495724924 216117518617 432235037234 864470074468