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88538978025 = 32528322392
BaseRepresentation
bin101001001110101010…
…1011001011011101001
322110112102201002202100
41102131111121123221
52422311434244100
6104401345324013
76253035616161
oct1223525313351
9273472632670
1088538978025
1134604a43713
12151ab636609
138470229634
1443dcc635a1
152482e81400
hex149d5596e9

88538978025 has 81 divisors (see below), whose sum is σ = 161191235959. Its totient is φ = 46456667040.

The previous prime is 88538977999. The next prime is 88538978053. The reversal of 88538978025 is 52087983588.

The square root of 88538978025 is 297555.

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

88538978025 is a `hidden beast` number, since 8 + 8 + 538 + 9 + 78 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31874032089 + 56664945936 = 178533^2 + 238044^2 .

It is not a de Polignac number, because 88538978025 - 211 = 88538975977 is a prime.

It is a super-2 number, since 2×885389780252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

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, 370455856 + ... + 370456094.

Almost surely, 288538978025 is an apocalyptic number.

88538978025 is the 297555-th square number.

88538978025 is the 148778-th centered octagonal number.

It is an amenable number.

88538978025 is a deficient number, since it is larger than the sum of its proper divisors (72652257934).

88538978025 is an equidigital number, since it uses as much as digits as its factorization.

88538978025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 88538978025 in words is "eighty-eight billion, five hundred thirty-eight million, nine hundred seventy-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 83 225 239 249 415 717 747 1195 1245 2075 2151 3585 3735 5975 6225 6889 10755 17925 18675 19837 20667 34445 53775 57121 59511 62001 99185 103335 171363 172225 178533 285605 297555 310005 495925 514089 516675 856815 892665 1428025 1487775 1550025 1646471 2570445 4284075 4463325 4741043 4939413 8232355 12852225 14223129 14818239 23705215 24697065 41161775 42669387 71115645 74091195 118526075 123485325 213346935 355578225 370455975 393506569 1066734675 1180519707 1967532845 3541559121 5902598535 9837664225 17707795605 29512992675 88538978025