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86429248164 = 22327794341433
BaseRepresentation
bin101000001111110010…
…1011010101010100100
322021002101212201110100
41100133211122222210
52404001341420124
6103412142424100
76146540326230
oct1203745325244
9267071781410
1086429248164
113372206a416
1214900b92030
1381c5112b7c
14427c9a35c0
1523acb461c9
hex141f95aaa4

86429248164 has 72 divisors (see below), whose sum is σ = 252845116160. Its totient is φ = 24381482112.

The previous prime is 86429248159. The next prime is 86429248189. The reversal of 86429248164 is 46184292468.

It is a happy number.

86429248164 is a `hidden beast` number, since 86 + 4 + 29 + 2 + 481 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 86429248164.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2150809 + ... + 2190624.

Almost surely, 286429248164 is an apocalyptic number.

86429248164 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

86429248164 is an abundant number, since it is smaller than the sum of its proper divisors (166415867996).

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

86429248164 is a wasteful number, since it uses less digits than its factorization.

86429248164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4341529 (or 4341524 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 86429248164 in words is "eighty-six billion, four hundred twenty-nine million, two hundred forty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 158 237 252 316 474 553 711 948 1106 1422 1659 2212 2844 3318 4977 6636 9954 19908 4341433 8682866 13024299 17365732 26048598 30390031 39072897 52097196 60780062 78145794 91170093 121560124 156291588 182340186 273510279 342973207 364680372 547020558 685946414 1028919621 1094041116 1371892828 2057839242 2400812449 3086758863 4115678484 4801624898 6173517726 7202437347 9603249796 12347035452 14404874694 21607312041 28809749388 43214624082 86429248164