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264775080969 = 327210722292
BaseRepresentation
bin1111011010010111010…
…0110001110000001001
3221022102122000201220100
43312211310301300021
513314224410042334
6321345212520013
725062242024400
oct3664564616011
9838378021810
10264775080969
11a23216a3273
1243394780009
131bc78137559
14cb5ac08637
156d4a000c99
hex3da5d31c09

264775080969 has 81 divisors (see below), whose sum is σ = 451060591527. Its totient is φ = 149231503008.

The previous prime is 264775080877. The next prime is 264775080979. The reversal of 264775080969 is 969080577462.

The square root of 264775080969 is 514563.

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

264775080969 is a `hidden beast` number, since 2 + 64 + 7 + 7 + 508 + 0 + 9 + 69 = 666.

264775080969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 246598648569 + 18176432400 = 496587^2 + 134820^2 .

It is not a de Polignac number, because 264775080969 - 225 = 264741526537 is a prime.

It is a super-2 number, since 2×2647750809692 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (264775080979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1156222947 + ... + 1156223175.

Almost surely, 2264775080969 is an apocalyptic number.

264775080969 is the 514563-rd square number.

264775080969 is the 257282-nd centered octagonal number.

It is an amenable number.

264775080969 is a deficient number, since it is larger than the sum of its proper divisors (186285510558).

264775080969 is an equidigital number, since it uses as much as digits as its factorization.

264775080969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 264775080969 in words is "two hundred sixty-four billion, seven hundred seventy-five million, eighty thousand, nine hundred sixty-nine".

Divisors: 1 3 7 9 21 49 63 107 147 229 321 441 687 749 963 1603 2061 2247 4809 5243 6741 11221 11449 14427 15729 24503 33663 34347 47187 52441 73509 80143 100989 103041 157323 171521 220527 240429 367087 471969 514563 561001 721287 1101261 1200647 1543689 1683003 2569609 2621821 3303783 3601941 5049009 5611187 7708827 7865463 10805823 16833561 18352747 23126481 23596389 39278309 50500683 55058241 117834927 128469229 165174723 274948163 353504781 385407687 600397009 824844489 1156223061 1801191027 2474533467 4202779063 5403573081 12608337189 29419453441 37825011567 88258360323 264775080969