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52541238530224 = 24196110749995297
BaseRepresentation
bin10111111001001001101011…
…10110111101000010110000
320220000220010020210012220201
423330210311312331002300
523341313424030431344
6303425040050244544
714031656604501613
oct1374446566750260
9226026106705821
1052541238530224
1115817683448504
125a86a16586754
13234180494c692
14cd901c16817a
15611ab8d544d4
hex2fc935dbd0b0

52541238530224 has 160 divisors (see below), whose sum is σ = 109973764800000. Its totient is φ = 24241742622720.

The previous prime is 52541238530197. The next prime is 52541238530227. The reversal of 52541238530224 is 42203583214525.

It is a super-5 number, since 5×525412385302245 (a number of 70 digits) contains 55555 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 (52541238530227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9919053144 + ... + 9919058440.

It is an arithmetic number, because the mean of its divisors is an integer number (687336030000).

Almost surely, 252541238530224 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 52541238530224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54986882400000).

52541238530224 is an abundant number, since it is smaller than the sum of its proper divisors (57432526269776).

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

52541238530224 is a wasteful number, since it uses less digits than its factorization.

52541238530224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10491 (or 10485 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 46.

The spelling of 52541238530224 in words is "fifty-two trillion, five hundred forty-one billion, two hundred thirty-eight million, five hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 61 76 107 122 152 214 244 304 428 488 856 976 1159 1712 2033 2318 4066 4636 4999 5297 6527 8132 9272 9998 10594 13054 16264 18544 19996 21188 26108 32528 39992 42376 52216 79984 84752 94981 100643 104432 124013 189962 201286 248026 304939 323117 379924 402572 496052 534893 566779 609878 646234 759848 805144 992104 1069786 1133558 1219756 1292468 1519696 1610288 1984208 2139572 2267116 2439512 2584936 4279144 4534232 4879024 5169872 5793841 6139223 8558288 9068464 10162967 10768801 11587682 12278446 20325934 21537602 23175364 24556892 26479703 32628473 34573519 40651868 43075204 46350728 49113784 52959406 65256946 69147038 81303736 86150408 92701456 98227568 105918812 130513892 138294076 162607472 172300816 211837624 261027784 276588152 423675248 503114357 522055568 553176304 619940987 656896861 1006228714 1239881974 1313793722 1615261883 2012457428 2479763948 2627587444 2833328221 3230523766 4024914856 4959527896 5255174888 5666656442 6461047532 8049829712 9919055792 10510349776 11333312884 12922095064 22666625768 25844190128 30689975777 45333251536 53833236199 61379951554 107666472398 122759903108 172833021481 215332944796 245519806216 345666042962 430665889592 491039612432 691332085924 861331779184 1382664171848 2765328343696 3283827408139 6567654816278 13135309632556 26270619265112 52541238530224