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5364390564 = 22341323132
BaseRepresentation
bin1001111111011111…
…00001101010100100
3111211212001021110000
410333233201222210
541441240444224
62244145301300
7246635365431
oct47757415244
914755037400
105364390564
112303071035
121058634830
136764b2c00
1438c636b88
15215e340c9
hex13fbe1aa4

5364390564 has 135 divisors (see below), whose sum is σ = 15233963283. Its totient is φ = 1645308288.

The previous prime is 5364390553. The next prime is 5364390571. The reversal of 5364390564 is 4650934635.

The square root of 5364390564 is 73242.

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

5364390564 is a `hidden beast` number, since 53 + 6 + 4 + 39 + 0 + 564 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4243480164 + 1120910400 = 65142^2 + 33480^2 .

It is a super-2 number, since 2×53643905642 = 57553372246264476192, which contains 22 as substring.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 17138472 + ... + 17138784.

Almost surely, 25364390564 is an apocalyptic number.

5364390564 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5364390564 is the 73242-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5364390564

5364390564 is an abundant number, since it is smaller than the sum of its proper divisors (9869572719).

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

5364390564 is a wasteful number, since it uses less digits than its factorization.

5364390564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The cubic root of 5364390564 is about 1750.5457415195.

The spelling of 5364390564 in words is "five billion, three hundred sixty-four million, three hundred ninety thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 169 234 313 324 338 351 468 507 626 676 702 939 1014 1053 1252 1404 1521 1878 2028 2106 2817 3042 3756 4069 4212 4563 5634 6084 8138 8451 9126 11268 12207 13689 16276 16902 18252 24414 25353 27378 33804 36621 48828 50706 52897 54756 73242 97969 101412 105794 109863 146484 158691 195938 211588 219726 293907 317382 329589 391876 439452 476073 587814 634764 659178 881721 952146 1175628 1273597 1318356 1428219 1763442 1904292 2547194 2645163 2856438 3526884 3820791 4284657 5094388 5290326 5712876 7641582 7935489 8569314 10580652 11462373 15283164 15870978 16556761 17138628 22924746 31741956 33113522 34387119 45849492 49670283 66227044 68774238 99340566 103161357 137548476 149010849 198681132 206322714 298021698 412645428 447032547 596043396 894065094 1341097641 1788130188 2682195282 5364390564