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57013510752 = 25321137486397
BaseRepresentation
bin110101000110010001…
…010010001001100000
312110011100222102200100
4311012101102021200
51413230424321002
642105221222400
74055563562652
oct650621221140
9173140872610
1057013510752
11221a7705530
12b071861a00
1354b7ac64a3
142a8bda66d2
15173a47c11c
hexd46452260

57013510752 has 144 divisors (see below), whose sum is σ = 181652142672. Its totient is φ = 16809845760.

The previous prime is 57013510751. The next prime is 57013510783. The reversal of 57013510752 is 25701531075.

It is a happy number.

57013510752 is a `hidden beast` number, since 5 + 70 + 1 + 3 + 510 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57013510751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125983 + ... + 360414.

It is an arithmetic number, because the mean of its divisors is an integer number (1261473213).

Almost surely, 257013510752 is an apocalyptic number.

It is an amenable number.

57013510752 is an abundant number, since it is smaller than the sum of its proper divisors (124638631920).

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

57013510752 is a wasteful number, since it uses less digits than its factorization.

57013510752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486461 (or 486450 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

It can be divided in two parts, 57013 and 510752, that added together give a palindrome (567765).

The spelling of 57013510752 in words is "fifty-seven billion, thirteen million, five hundred ten thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 37 44 48 66 72 74 88 96 99 111 132 144 148 176 198 222 264 288 296 333 352 396 407 444 528 592 666 792 814 888 1056 1184 1221 1332 1584 1628 1776 2442 2664 3168 3256 3552 3663 4884 5328 6512 7326 9768 10656 13024 14652 19536 29304 39072 58608 117216 486397 972794 1459191 1945588 2918382 3891176 4377573 5350367 5836764 7782352 8755146 10700734 11673528 15564704 16051101 17510292 17996689 21401468 23347056 32102202 35020584 35993378 42802936 46694112 48153303 53990067 64204404 70041168 71986756 85605872 96306606 107980134 128408808 140082336 143973512 161970201 171211744 192613212 197963579 215960268 256817616 287947024 323940402 385226424 395927158 431920536 513635232 575894048 593890737 647880804 770452848 791854316 863841072 1187781474 1295761608 1540905696 1583708632 1727682144 1781672211 2375562948 2591523216 3167417264 3563344422 4751125896 5183046432 6334834528 7126688844 9502251792 14253377688 19004503584 28506755376 57013510752