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87916994064 = 2432247092
BaseRepresentation
bin101000111100001000…
…0101101111000010000
322101221002100001011100
41101320100231320100
52420023222302224
6104215530144400
76231444055644
oct1217020557020
9271832301140
1087916994064
113431593a989
1215057282100
1383a14045a3
1443803d6c24
15244856eac9
hex147842de10

87916994064 has 45 divisors (see below), whose sum is σ = 246055434573. Its totient is φ = 29304478656.

The previous prime is 87916994029. The next prime is 87916994071. The reversal of 87916994064 is 46049961978.

The square root of 87916994064 is 296508.

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

87916994064 is a `hidden beast` number, since 87 + 91 + 69 + 9 + 406 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59288354064 + 28628640000 = 243492^2 + 169200^2 .

It is a super-2 number, since 2×879169940642 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 87916993992 and 87916994010.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3545742 + ... + 3570450.

Almost surely, 287916994064 is an apocalyptic number.

87916994064 is the 296508-th square number.

It is an amenable number.

87916994064 is an abundant number, since it is smaller than the sum of its proper divisors (158138440509).

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

87916994064 is an frugal number, since it uses more digits than its factorization.

87916994064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49432 (or 24714 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 87916994064 in words is "eighty-seven billion, nine hundred sixteen million, nine hundred ninety-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 24709 49418 74127 98836 148254 197672 222381 296508 395344 444762 593016 889524 1186032 1779048 3558096 610534681 1221069362 1831604043 2442138724 3663208086 4884277448 5494812129 7326416172 9768554896 10989624258 14652832344 21979248516 29305664688 43958497032 87916994064