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57202762440252 = 223112138934049993
BaseRepresentation
bin11010000000110100011100…
…10101011101111000111100
321111112112022212102102122110
431000122032111131320330
524444202224141042002
6321354330345414020
715022522531121112
oct1500321625357074
9244475285372573
1057202762440252
1117254612140900
1264ba34149a310
1325bc274776ab0
14101a8b2769ab2
15692e9609de6c
hex34068e55de3c

57202762440252 has 144 divisors (see below), whose sum is σ = 159770743846560. Its totient is φ = 15820988282880.

The previous prime is 57202762440247. The next prime is 57202762440253. The reversal of 57202762440252 is 25204426720275.

It is a happy number.

57202762440252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×572027624402523 (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 (57202762440253) 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 47 ways as a sum of consecutive naturals, for example, 15345033 + ... + 18704960.

It is an arithmetic number, because the mean of its divisors is an integer number (1109519054490).

Almost surely, 257202762440252 is an apocalyptic number.

57202762440252 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

57202762440252 is an abundant number, since it is smaller than the sum of its proper divisors (102567981406308).

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

57202762440252 is a wasteful number, since it uses less digits than its factorization.

57202762440252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34050124 (or 34050111 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 48.

The spelling of 57202762440252 in words is "fifty-seven trillion, two hundred two billion, seven hundred sixty-two million, four hundred forty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 89 121 132 143 156 178 242 267 286 356 363 429 484 534 572 726 858 979 1068 1157 1452 1573 1716 1958 2314 2937 3146 3471 3916 4628 4719 5874 6292 6942 9438 10769 11748 12727 13884 18876 21538 25454 32307 38181 43076 50908 64614 76362 129228 139997 152724 279994 419991 559988 839982 1679964 34049993 68099986 102149979 136199972 204299958 374549923 408599916 442649909 749099846 885299818 1123649769 1327949727 1498199692 1770599636 2247299538 2655899454 3030449377 4120049153 4494599076 4869148999 5311798908 6060898754 8240098306 9091348131 9738297998 12121797508 12360147459 14607446997 16480196612 18182696262 19476595996 24720294918 29214893994 33334943147 36365392524 39395841901 49440589836 53560638989 58429787988 66669886294 78791683802 100004829441 107121277978 118187525703 133339772588 157583367604 160681916967 200009658882 214242555956 236375051406 321363833934 366684374617 400019317764 433354260911 472750102812 642727667868 733368749234 866708521822 1100053123851 1300062782733 1466737498468 1733417043644 2200106247702 2600125565466 4400212495404 4766896870021 5200251130932 9533793740042 14300690610063 19067587480084 28601381220126 57202762440252