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57490877952 = 293315726489
BaseRepresentation
bin110101100010101110…
…010010111000000000
312111101122020012101000
4311202232102320000
51420220131043302
642224433012000
74103451254034
oct654256227000
9174348205330
1057490877952
1122422113582
12b1856b4000
1355629859a1
142ad554a1c4
15176732431c
hexd62b92e00

57490877952 has 160 divisors (see below), whose sum is σ = 171267386400. Its totient is φ = 19040845824.

The previous prime is 57490877893. The next prime is 57490877953. The reversal of 57490877952 is 25977809475.

57490877952 is a `hidden beast` number, since 57 + 490 + 8 + 7 + 7 + 95 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 57490877952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57490877953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2157124 + ... + 2183612.

It is an arithmetic number, because the mean of its divisors is an integer number (1070421165).

Almost surely, 257490877952 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 57490877952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85633693200).

57490877952 is an abundant number, since it is smaller than the sum of its proper divisors (113776508448).

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

57490877952 is a wasteful number, since it uses less digits than its factorization.

57490877952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26673 (or 26651 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 57490877952 in words is "fifty-seven billion, four hundred ninety million, eight hundred seventy-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 157 192 216 256 288 314 384 432 471 512 576 628 768 864 942 1152 1256 1413 1536 1728 1884 2304 2512 2826 3456 3768 4239 4608 5024 5652 6912 7536 8478 10048 11304 13824 15072 16956 20096 22608 26489 30144 33912 40192 45216 52978 60288 67824 79467 80384 90432 105956 120576 135648 158934 180864 211912 238401 241152 271296 317868 361728 423824 476802 542592 635736 715203 723456 847648 953604 1085184 1271472 1430406 1695296 1907208 2170368 2542944 2860812 3390592 3814416 4158773 5085888 5721624 6781184 7628832 8317546 10171776 11443248 12476319 13562368 15257664 16635092 20343552 22886496 24952638 30515328 33270184 37428957 40687104 45772992 49905276 61030656 66540368 74857914 91545984 99810552 112286871 122061312 133080736 149715828 183091968 199621104 224573742 266161472 299431656 366183936 399242208 449147484 532322944 598863312 798484416 898294968 1064645888 1197726624 1596968832 1796589936 2129291776 2395453248 3193937664 3593179872 4790906496 6387875328 7186359744 9581812992 14372719488 19163625984 28745438976 57490877952