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52993881616 = 241321922332
BaseRepresentation
bin110001010110101011…
…100111011000010000
312001210020100010010011
4301112223213120100
51332012413202431
640202310444304
73554144363404
oct612653473020
9161706303104
1052993881616
1120524734685
12a32b663694
134cc70c1400
1427ca1c3104
1515a262acb1
hexc56ae7610

52993881616 has 135 divisors (see below), whose sum is σ = 117846720999. Its totient is φ = 23071965696.

The previous prime is 52993881599. The next prime is 52993881671. The reversal of 52993881616 is 61618839925.

The square root of 52993881616 is 230204.

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

It can be written as a sum of positive squares in 4 ways, for example, as 22438841616 + 30555040000 = 149796^2 + 174800^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 227441436 + ... + 227441668.

Almost surely, 252993881616 is an apocalyptic number.

52993881616 is the 230204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52993881616

52993881616 is an abundant number, since it is smaller than the sum of its proper divisors (64852839383).

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

52993881616 is a wasteful number, since it uses less digits than its factorization.

52993881616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 267 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 58.

The spelling of 52993881616 in words is "fifty-two billion, nine hundred ninety-three million, eight hundred eighty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 169 208 233 247 304 338 361 466 494 676 722 932 988 1352 1444 1864 1976 2704 2888 3029 3211 3728 3952 4427 4693 5776 6058 6422 8854 9386 12116 12844 17708 18772 24232 25688 35416 37544 39377 48464 51376 54289 57551 61009 70832 75088 78754 84113 108578 115102 122018 157508 168226 217156 230204 244036 315016 336452 434312 460408 488072 630032 672904 705757 748163 868624 920816 976144 1031491 1093469 1345808 1411514 1496326 2062982 2186938 2823028 2992652 4125964 4373876 5646056 5985304 8251928 8747752 9174841 11292112 11970608 13409383 14215097 16503856 17495504 18349682 19598329 26818766 28430194 36699364 39196658 53637532 56860388 73398728 78393316 107275064 113720776 146797456 156786632 174321979 214550128 227441552 254778277 313573264 348643958 509556554 697287916 1019113108 1394575832 2038226216 2789151664 3312117601 4076452432 6624235202 13248470404 26496940808 52993881616