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5686366464 = 283215712
BaseRepresentation
bin1010100101110111…
…10001000100000000
3112200021220100100100
411102323301010000
543121202211324
62340130322400
7260625213612
oct52273610400
915607810310
105686366464
112458895319
121128429400
136c81065ac
143bd2cadb2
152343344c9
hex152ef1100

5686366464 has 81 divisors (see below), whose sum is σ = 16405639159. Its totient is φ = 1894248960.

The previous prime is 5686366459. The next prime is 5686366471. The reversal of 5686366464 is 4646636865.

It is a happy number.

The square root of 5686366464 is 75408.

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

5686366464 is a `hidden beast` number, since 5 + 68 + 63 + 66 + 464 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5686366464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3618799 + ... + 3620369.

Almost surely, 25686366464 is an apocalyptic number.

5686366464 is the 75408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5686366464

5686366464 is an abundant number, since it is smaller than the sum of its proper divisors (10719272695).

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

5686366464 is an frugal number, since it uses more digits than its factorization.

5686366464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164 (or 1576 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The cubic root of 5686366464 is about 1784.8906516825.

The spelling of 5686366464 in words is "five billion, six hundred eighty-six million, three hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1571 2304 3142 4713 6284 9426 12568 14139 18852 25136 28278 37704 50272 56556 75408 100544 113112 150816 201088 226224 301632 402176 452448 603264 904896 1206528 1809792 2468041 3619584 4936082 7404123 9872164 14808246 19744328 22212369 29616492 39488656 44424738 59232984 78977312 88849476 118465968 157954624 177698952 236931936 315909248 355397904 473863872 631818496 710795808 947727744 1421591616 1895455488 2843183232 5686366464