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52537968862864 = 2441219322292
BaseRepresentation
bin10111111001000011100101…
…11110001010011010010000
320220000120200101022220111121
423330201302332022122100
523341240230012102424
6303423335410052024
714031512563001662
oct1374416276123220
9226016611286447
1052537968862864
1115816255840a81
125a8626357a014
13234140342a874
14cd8bcbc06532
15611976c93ee4
hex2fc872f8a690

52537968862864 has 135 divisors (see below), whose sum is σ = 105338995593489. Its totient is φ = 25384154480640.

The previous prime is 52537968862861. The next prime is 52537968862913. The reversal of 52537968862864 is 46826886973525.

The square root of 52537968862864 is 7248308.

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

52537968862864 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 13 ways, for example, as 41725657011600 + 10812311851264 = 6459540^2 + 3288208^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (52537968862861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 229423444702 + ... + 229423444930.

Almost surely, 252537968862864 is an apocalyptic number.

52537968862864 is the 7248308-th square number.

It is an amenable number.

52537968862864 is an abundant number, since it is smaller than the sum of its proper divisors (52801026730625).

52537968862864 is an frugal number, since it uses more digits than its factorization.

52537968862864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 465 counting only the distinct ones).

The product of its digits is 8360755200, while the sum is 79.

The spelling of 52537968862864 in words is "fifty-two trillion, five hundred thirty-seven billion, nine hundred sixty-eight million, eight hundred sixty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 41 82 164 193 229 328 386 458 656 772 916 1544 1681 1832 3088 3362 3664 6724 7913 9389 13448 15826 18778 26896 31652 37249 37556 44197 52441 63304 74498 75112 88394 104882 126608 148996 150224 176788 209764 297992 324433 353576 384949 419528 595984 648866 707152 769898 839056 1297732 1527209 1539796 1812077 2150081 2595464 3054418 3079592 3624154 4300162 5190928 6108836 6159184 7248308 8530021 8600324 10121113 12217672 14496616 17060042 17200648 20242226 24435344 28993232 34120084 34401296 40484452 62615569 68240168 74295157 80968904 88153321 125231138 136480336 148590314 161937808 176306642 250462276 297180628 349730861 352613284 414965633 500924552 594361256 699461722 705226568 829931266 1001849104 1188722512 1398923444 1410453136 1659862532 1953374809 2797846888 3319725064 3906749618 5595693776 6639450128 7813499236 14338965301 15626998472 17013590953 28677930602 31253996944 34027181906 57355861204 68054363812 80088367169 114711722408 136108727624 160176734338 229423444816 272217455248 320353468676 640706937352 1281413874704 3283623053929 6567246107858 13134492215716 26268984431432 52537968862864