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5652137568 = 253711764629
BaseRepresentation
bin1010100001110010…
…01100011001100000
3112120220111100010110
411100321030121200
543033421400233
62332504531320
7260031243120
oct52071143140
915526440113
105652137568
112440536680
121118a80b40
136c0cb07cc
143b893ac80
15231322663
hex150e4c660

5652137568 has 96 divisors (see below), whose sum is σ = 18497928960. Its totient is φ = 1468085760.

The previous prime is 5652137567. The next prime is 5652137587. The reversal of 5652137568 is 8657312565.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5652137567) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 374923 + ... + 389706.

It is an arithmetic number, because the mean of its divisors is an integer number (192686760).

Almost surely, 25652137568 is an apocalyptic number.

It is an amenable number.

5652137568 is an abundant number, since it is smaller than the sum of its proper divisors (12845791392).

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

5652137568 is a wasteful number, since it uses less digits than its factorization.

5652137568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764660 (or 764652 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 48.

The square root of 5652137568 is about 75180.6994380872. The cubic root of 5652137568 is about 1781.3020780539.

The spelling of 5652137568 in words is "five billion, six hundred fifty-two million, one hundred thirty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 764629 1529258 2293887 3058516 4587774 5352403 6117032 8410919 9175548 10704806 12234064 16057209 16821838 18351096 21409612 24468128 25232757 32114418 33643676 36702192 42819224 50465514 58876433 64228836 67287352 73404384 85638448 100931028 117752866 128457672 134574704 171276896 176629299 201862056 235505732 256915344 269149408 353258598 403724112 471011464 513830688 706517196 807448224 942022928 1413034392 1884045856 2826068784 5652137568