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96257544516 = 223272832892
BaseRepresentation
bin101100110100101100…
…1011001000101000100
3100012110100112220110100
41121221121121011010
53034113412411031
6112115313124100
76645231425400
oct1315131310504
9305410486410
1096257544516
1137905968991
12167a4559630
139100372743
144931dcc100
1527858d8de6
hex1669659144

96257544516 has 243 divisors, whose sum is σ = 289749466461. Its totient is φ = 26865514368.

The previous prime is 96257544497. The next prime is 96257544527. The reversal of 96257544516 is 61544575269.

The square root of 96257544516 is 310254.

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

96257544516 is a `hidden beast` number, since 9 + 62 + 575 + 4 + 4 + 5 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18483490116 + 77774054400 = 135954^2 + 278880^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1081545400 + ... + 1081545488.

Almost surely, 296257544516 is an apocalyptic number.

96257544516 is the 310254-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96257544516

96257544516 is an abundant number, since it is smaller than the sum of its proper divisors (193491921945).

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

96257544516 is a wasteful number, since it uses less digits than its factorization.

96257544516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 184 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 96257544516 in words is "ninety-six billion, two hundred fifty-seven million, five hundred forty-four thousand, five hundred sixteen".