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52730618952 = 233114318892459
BaseRepresentation
bin110001000110111111…
…010110010001001000
312001002212221222122010
4301012333112101020
51330443014301302
640120224055520
73544466602644
oct610677262110
9161085858563
1052730618952
11203aa072530
12a2774645a0
134c846b709b
1427a3253c24
15158947716c
hexc46fd6448

52730618952 has 128 divisors (see below), whose sum is σ = 147292992000. Its totient is φ = 15592765440.

The previous prime is 52730618939. The next prime is 52730618957. The reversal of 52730618952 is 25981603725.

It is a super-3 number, since 3×527306189523 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (52730618957) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 21442699 + ... + 21445157.

It is an arithmetic number, because the mean of its divisors is an integer number (1150726500).

Almost surely, 252730618952 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 52730618952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73646496000).

52730618952 is an abundant number, since it is smaller than the sum of its proper divisors (94562373048).

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

52730618952 is a wasteful number, since it uses less digits than its factorization.

52730618952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 52730618952 in words is "fifty-two billion, seven hundred thirty million, six hundred eighteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1889 1892 2459 2838 3778 3784 4918 5667 5676 7377 7556 9836 11334 11352 14754 15112 19672 20779 22668 27049 29508 41558 45336 54098 59016 62337 81147 81227 83116 105737 108196 124674 162294 162454 166232 211474 216392 243681 249348 317211 324588 324908 422948 487362 498696 634422 649176 649816 845896 893497 974724 1163107 1268844 1786994 1949448 2326214 2537688 2680491 3489321 3573988 4645051 4652428 5360982 6978642 7147976 9290102 9304856 10721964 13935153 13957284 18580204 21443928 27870306 27914568 37160408 51095561 55740612 102191122 111481224 153286683 199737193 204382244 306573366 399474386 408764488 599211579 613146732 798948772 1198423158 1226293464 1597897544 2197109123 2396846316 4394218246 4793692632 6591327369 8788436492 13182654738 17576872984 26365309476 52730618952