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57056257548752 = 24711831787312241
BaseRepresentation
bin11001111100100011100011…
…11101101010000111010000
321111000112011200121211021212
430332101301331222013100
524434302203413030002
6321203141033235252
715006115152104420
oct1476216175520720
9244015150554255
1057056257548752
11171a8471a29480
126495a75262b28
1325ab4c7340697
141013775262480
1568e26e262352
hex33e471f6a1d0

57056257548752 has 160 divisors (see below), whose sum is σ = 139563241380864. Its totient is φ = 21949522790400.

The previous prime is 57056257548739. The next prime is 57056257548803. The reversal of 57056257548752 is 25784575265075.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182575352 + ... + 182887592.

Almost surely, 257056257548752 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 57056257548752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69781620690432).

57056257548752 is an abundant number, since it is smaller than the sum of its proper divisors (82506983832112).

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

57056257548752 is a wasteful number, since it uses less digits than its factorization.

57056257548752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314137 (or 314131 counting only the distinct ones).

The product of its (nonzero) digits is 823200000, while the sum is 68.

The spelling of 57056257548752 in words is "fifty-seven trillion, fifty-six billion, two hundred fifty-seven million, five hundred forty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 83 88 112 154 166 176 308 332 581 616 664 913 1162 1232 1328 1787 1826 2324 3574 3652 4648 6391 7148 7304 9296 12509 12782 14296 14608 19657 25018 25564 28592 39314 50036 51128 78628 100072 102256 137599 148321 157256 200144 275198 296642 312241 314512 550396 593284 624482 1038247 1100792 1186568 1248964 1631531 2076494 2185687 2201584 2373136 2497928 3263062 3434651 4152988 4371374 4995856 6526124 6869302 8305976 8742748 11420717 13052248 13738604 16611952 17485496 22841434 24042557 25916003 26104496 27477208 34970992 45682868 48085114 51832006 54954416 91365736 96170228 103664012 181412021 182731472 192340456 207328024 285076033 362824042 384680912 414656048 557974667 570152066 725648084 1115949334 1140304132 1451296168 1995532231 2231898668 2280608264 2902592336 3905822669 3991064462 4463797336 4561216528 6137721337 7811645338 7982128924 8927594672 12275442674 15623290676 15964257848 24550885348 31246581352 31928515696 42964049359 46311897361 49101770696 62493162704 85928098718 92623794722 98203541392 171856197436 185247589444 324183281527 343712394872 370495178888 509430870971 648366563054 687424789744 740990357776 1018861741942 1296733126108 2037723483884 2593466252216 3566016096797 4075446967768 5186932504432 7132032193594 8150893935536 14264064387188 28528128774376 57056257548752