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264253571136 = 2632214192
BaseRepresentation
bin1111011000011010111…
…1011000000001000000
3221021002021201021220100
43312012233120001000
513312142403234021
6321221343042400
725043310202512
oct3660657300100
9837067637810
10264253571136
11a2084285205
1243269ba0400
131bbc4090a59
14cb0b853bb2
156d19339626
hex3d86bd8040

264253571136 has 63 divisors (see below), whose sum is σ = 757470513631. Its totient is φ = 88080411264.

The previous prime is 264253571107. The next prime is 264253571147. The reversal of 264253571136 is 631175352462.

The square root of 264253571136 is 514056.

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

264253571136 is a `hidden beast` number, since 2 + 6 + 42 + 5 + 3 + 571 + 1 + 36 = 666.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 264253571091 and 264253571100.

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, 12326635 + ... + 12348053.

Almost surely, 2264253571136 is an apocalyptic number.

264253571136 is the 514056-th square number.

It is an amenable number.

264253571136 is an abundant number, since it is smaller than the sum of its proper divisors (493216942495).

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

264253571136 is an frugal number, since it uses more digits than its factorization.

264253571136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42856 (or 21424 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The spelling of 264253571136 in words is "two hundred sixty-four billion, two hundred fifty-three million, five hundred seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 21419 42838 64257 85676 128514 171352 192771 257028 342704 385542 514056 685408 771084 1028112 1370816 1542168 2056224 3084336 4112448 6168672 12337344 458773561 917547122 1376320683 1835094244 2752641366 3670188488 4128962049 5505282732 7340376976 8257924098 11010565464 14680753952 16515848196 22021130928 29361507904 33031696392 44042261856 66063392784 88084523712 132126785568 264253571136