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9055059264 = 263241383429
BaseRepresentation
bin10000110111011100…
…10011110101000000
3212101001200200010100
420123232103311000
5122021043344024
64054305202400
7440251506456
oct103356236500
925331620110
109055059264
113927388059
121908630400
13b13cba444
1461c8689d6
1537ee557c9
hex21bb93d40

9055059264 has 84 divisors (see below), whose sum is σ = 26587803060. Its totient is φ = 2944727040.

The previous prime is 9055059257. The next prime is 9055059269. The reversal of 9055059264 is 4629505509.

It is a happy number.

9055059264 is a `hidden beast` number, since 9 + 0 + 5 + 50 + 592 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3401222400 + 5653836864 = 58320^2 + 75192^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9055059269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168099 + ... + 215330.

It is an arithmetic number, because the mean of its divisors is an integer number (316521465).

Almost surely, 29055059264 is an apocalyptic number.

It is an amenable number.

9055059264 is an abundant number, since it is smaller than the sum of its proper divisors (17532743796).

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

9055059264 is a wasteful number, since it uses less digits than its factorization.

9055059264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383488 (or 383475 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The square root of 9055059264 is about 95158.0751381616. The cubic root of 9055059264 is about 2084.3169758657.

The spelling of 9055059264 in words is "nine billion, fifty-five million, fifty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 984 1312 1476 1968 2624 2952 3936 5904 7872 11808 23616 383429 766858 1150287 1533716 2300574 3067432 3450861 4601148 6134864 6901722 9202296 12269728 13803444 15720589 18404592 24539456 27606888 31441178 36809184 47161767 55213776 62882356 73618368 94323534 110427552 125764712 141485301 188647068 220855104 251529424 282970602 377294136 503058848 565941204 754588272 1006117696 1131882408 1509176544 2263764816 3018353088 4527529632 9055059264