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52939633264384 = 282341257853289
BaseRepresentation
bin11000000100101111110000…
…00010010000011100000000
320221102222110001202122011011
430002113320002100130000
523414330332103430014
6304332044244130304
714102522315041366
oct1402277002203400
9227388401678134
1052939633264384
1115960632931919
125b30080096994
132370255830179
14d10413065636
1561c13485d7c4
hex3025f8090700

52939633264384 has 144 divisors (see below), whose sum is σ = 113396015396160. Its totient is φ = 24605276241920.

The previous prime is 52939633264379. The next prime is 52939633264387. The reversal of 52939633264384 is 48346233693925.

It is a super-3 number, since 3×529396332643843 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52939633264387) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61615212 + ... + 62468500.

It is an arithmetic number, because the mean of its divisors is an integer number (787472329140).

Almost surely, 252939633264384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52939633264384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56698007698080).

52939633264384 is an abundant number, since it is smaller than the sum of its proper divisors (60456382131776).

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

52939633264384 is a wasteful number, since it uses less digits than its factorization.

52939633264384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853626 (or 853612 counting only the distinct ones).

The product of its digits is 604661760, while the sum is 67.

The spelling of 52939633264384 in words is "fifty-two trillion, nine hundred thirty-nine billion, six hundred thirty-three million, two hundred sixty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 41 46 64 82 92 128 164 184 256 257 328 368 514 656 736 943 1028 1312 1472 1886 2056 2624 2944 3772 4112 5248 5888 5911 7544 8224 10496 10537 11822 15088 16448 21074 23644 30176 32896 42148 47288 60352 65792 84296 94576 120704 168592 189152 241408 242351 337184 378304 484702 674368 756608 853289 969404 1348736 1513216 1706578 1938808 2697472 3413156 3877616 6826312 7755232 13652624 15510464 19625647 27305248 31020928 34984849 39251294 54610496 62041856 69969698 78502588 109220992 139939396 157005176 218441984 219295273 279878792 314010352 438590546 559757584 628020704 804651527 877181092 1119515168 1256041408 1609303054 1754362184 2239030336 2512082816 3218606108 3508724368 4478060672 5024165632 5043791279 6437212216 7017448736 8956121344 8991106193 10087582558 12874424432 14034897472 17982212386 20175165116 25748848864 28069794944 35964424772 40350330232 51497697728 56139589888 71928849544 80700660464 102995395456 143857699088 161401320928 205990790912 206795442439 287715398176 322802641856 413590884878 575430796352 645605283712 827181769756 1150861592704 1291210567424 1654363539512 2301723185408 3308727079024 6617454158048 13234908316096 26469816632192 52939633264384