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88076587729 = 1323726172
BaseRepresentation
bin101001000000111000…
…1100001001011010001
322102100012122020111211
41102001301201023101
52420340101301404
6104243430540121
76235422433414
oct1220161411321
9272305566454
1088076587729
1134397a34a79
12150a0807641
1383c84b2100
14439769bb7b
152457596b04
hex1481c612d1

88076587729 has 27 divisors (see below), whose sum is σ = 98179307667. Its totient is φ = 78975921024.

The previous prime is 88076587717. The next prime is 88076587741. The reversal of 88076587729 is 92778567088.

The square root of 88076587729 is 296777.

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

It is an interprime number because it is at equal distance from previous prime (88076587717) and next prime (88076587741).

It can be written as a sum of positive squares in 13 ways, for example, as 83281302225 + 4795285504 = 288585^2 + 69248^2 .

It is not a de Polignac number, because 88076587729 - 221 = 88074490577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (88076587759) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 142749429 + ... + 142750045.

Almost surely, 288076587729 is an apocalyptic number.

88076587729 is the 296777-th square number.

88076587729 is the 148389-th centered octagonal number.

It is an amenable number.

88076587729 is a deficient number, since it is larger than the sum of its proper divisors (10102719938).

88076587729 is an frugal number, since it uses more digits than its factorization.

88076587729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 67.

The spelling of 88076587729 in words is "eighty-eight billion, seventy-six million, five hundred eighty-seven thousand, seven hundred twenty-nine".

Divisors: 1 13 37 169 481 617 1369 6253 8021 17797 22829 104273 231361 296777 380689 844673 3858101 4948957 10980749 14085493 64336441 142749737 183111409 521163241 2380448317 6775122133 88076587729