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57145520520 = 23335114810229
BaseRepresentation
bin110101001110001000…
…110111000110001000
312110111120101020001000
4311032020313012020
51414013223124040
642130254455000
74062055624044
oct651610670610
9173446336030
1057145520520
112226517a410
12b0a9b04460
13550926698a
142aa172b024
151746d56130
hexd4e237188

57145520520 has 128 divisors (see below), whose sum is σ = 207801936000. Its totient is φ = 13853456640.

The previous prime is 57145520507. The next prime is 57145520521. The reversal of 57145520520 is 2502554175.

57145520520 is a `hidden beast` number, since 5 + 71 + 45 + 5 + 20 + 520 = 666.

It is a super-2 number, since 2×571455205202 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (57145520521) 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, 2393235 + ... + 2416994.

It is an arithmetic number, because the mean of its divisors is an integer number (1623452625).

Almost surely, 257145520520 is an apocalyptic number.

It is an amenable number.

57145520520 is an abundant number, since it is smaller than the sum of its proper divisors (150656415480).

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

57145520520 is a wasteful number, since it uses less digits than its factorization.

57145520520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4810260 (or 4810250 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 36.

The spelling of 57145520520 in words is "fifty-seven billion, one hundred forty-five million, five hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1980 2376 2970 3960 5940 11880 4810229 9620458 14430687 19240916 24051145 28861374 38481832 43292061 48102290 52912519 57722748 72153435 86584122 96204580 105825038 115445496 129876183 144306870 158737557 173168244 192409160 211650076 216460305 259752366 264562595 288613740 317475114 346336488 423300152 432920610 476212671 519504732 529125190 577227480 634950228 649380915 793687785 865841220 952425342 1039009464 1058250380 1269900456 1298761830 1428638013 1587375570 1731682440 1904850684 2116500760 2381063355 2597523660 2857276026 3174751140 3809701368 4762126710 5195047320 5714552052 6349502280 7143190065 9524253420 11429104104 14286380130 19048506840 28572760260 57145520520