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88508112015625 = 5673210312
BaseRepresentation
bin10100000111111101100110…
…100100111001000100001001
3102121101021220111122020011221
4110013331212210321010021
543100104103134000000
6512124022040322041
724433333345034461
oct2407754644710411
9377337814566157
1088508112015625
1126224096916215
129b1556b773321
133a503823a6b93
1417bdb5b95cba1
15a3747475761a
hex507f66939109

88508112015625 has 63 divisors (see below), whose sum is σ = 112278917870049. Its totient is φ = 69768801000000.

The previous prime is 88508112015619. The next prime is 88508112015671. The reversal of 88508112015625 is 52651021180588.

The square root of 88508112015625 is 9407875.

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

It can be written as a sum of positive squares in 10 ways, for example, as 77650586169849 + 10857525845776 = 8811957^2 + 3295076^2 .

It is not a de Polignac number, because 88508112015625 - 223 = 88508103627017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 85846858860 + ... + 85846859890.

Almost surely, 288508112015625 is an apocalyptic number.

88508112015625 is the 9407875-th square number.

88508112015625 is the 4703938-th centered octagonal number.

It is an amenable number.

88508112015625 is a deficient number, since it is larger than the sum of its proper divisors (23770805854424).

88508112015625 is an frugal number, since it uses more digits than its factorization.

88508112015625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 52.

The spelling of 88508112015625 in words is "eighty-eight trillion, five hundred eight billion, one hundred twelve million, fifteen thousand, six hundred twenty-five".

Divisors: 1 5 25 73 125 365 625 1031 1825 3125 5155 5329 9125 15625 25775 26645 45625 75263 128875 133225 228125 376315 644375 666125 1062961 1140625 1881575 3221875 3330625 5314805 5494199 9407875 16109375 16653125 26574025 27470995 47039375 77596153 83265625 132870125 137354975 235196875 387980765 664350625 686774875 1175984375 1939903825 3321753125 3433874375 5664519169 9699519125 16608765625 17169371875 28322595845 48497595625 85846859375 141612979225 242487978125 708064896125 1212439890625 3540324480625 17701622403125 88508112015625