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151820888164 = 221128921992
BaseRepresentation
bin1000110101100100111…
…0101110100001100100
3112111212122210012211221
42031121032232201210
54441412121410124
6153425012310124
713653156154051
oct2153116564144
9474778705757
10151820888164
1159428a2a400
1225510612344
13114168a3c8a
1474c3544028
153e388b1ce4
hex23593ae864

151820888164 has 81 divisors (see below), whose sum is σ = 296845450041. Its totient is φ = 67891222080.

The previous prime is 151820888123. The next prime is 151820888203. The reversal of 151820888164 is 461888028151.

The square root of 151820888164 is 389642.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29152830564 + 122668057600 = 170742^2 + 350240^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 762918937 + ... + 762919135.

Almost surely, 2151820888164 is an apocalyptic number.

151820888164 is the 389642-nd square number.

It is an amenable number.

151820888164 is a deficient number, since it is larger than the sum of its proper divisors (145024561877).

151820888164 is an equidigital number, since it uses as much as digits as its factorization.

151820888164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 52.

The spelling of 151820888164 in words is "one hundred fifty-one billion, eight hundred twenty million, eight hundred eighty-eight thousand, one hundred sixty-four".

Divisors: 1 2 4 11 22 44 89 121 178 199 242 356 398 484 796 979 1958 2189 3916 4378 7921 8756 10769 15842 17711 21538 24079 31684 35422 39601 43076 48158 70844 79202 87131 96316 158404 174262 194821 348524 389642 435611 779284 871222 958441 1576279 1742444 1916882 2143031 3152558 3524489 3833764 4286062 4791721 6305116 7048978 8572124 9583442 14097956 17339069 19166884 34678138 38769379 69356276 77538758 155077516 190729759 313679521 381459518 426463169 627359042 762919036 852926338 1254718084 1705852676 3450474731 6900949462 13801898924 37955222041 75910444082 151820888164