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57247122770264 = 23729263401334247
BaseRepresentation
bin11010000010000111000100…
…11010101100100101011000
321111200202211102012200110002
431001003202122230211120
530000414101412122024
6321430544245312132
715025653032525240
oct1501034232544530
9244622742180402
1057247122770264
1117271406413369
126506a61705648
1325c34c3caca8b
14101cac0086b20
156941e07856ae
hex3410e26ac958

57247122770264 has 128 divisors (see below), whose sum is σ = 127703058278400. Its totient is φ = 23539475097600.

The previous prime is 57247122770219. The next prime is 57247122770269. The reversal of 57247122770264 is 46207722174275.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57247122770269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171104789 + ... + 171439035.

It is an arithmetic number, because the mean of its divisors is an integer number (997680142800).

Almost surely, 257247122770264 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 57247122770264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63851529139200).

57247122770264 is an abundant number, since it is smaller than the sum of its proper divisors (70455935508136).

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

57247122770264 is a wasteful number, since it uses less digits than its factorization.

57247122770264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334953 (or 334949 counting only the distinct ones).

The product of its (nonzero) digits is 18439680, while the sum is 56.

The spelling of 57247122770264 in words is "fifty-seven trillion, two hundred forty-seven billion, one hundred twenty-two million, seven hundred seventy thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 203 232 263 401 406 526 802 812 1052 1604 1624 1841 2104 2807 3208 3682 5614 7364 7627 11228 11629 14728 15254 22456 23258 30508 46516 53389 61016 81403 93032 105463 106778 162806 210926 213556 325612 334247 421852 427112 651224 668494 738241 843704 1336988 1476482 2339729 2673976 2952964 3058427 4679458 5905928 6116854 9358916 9693163 12233708 18717832 19386326 21408989 24467416 38772652 42817978 67852141 77545304 85635956 87906961 134033047 135704282 171271912 175813922 268066094 271408564 351627844 536132188 542817128 615348727 703255688 938231329 1072264376 1230697454 1876462658 2461394908 2549301869 3752925316 3886958363 4922789816 5098603738 7505850632 7773916726 10197207476 15547833452 17845113083 20394414952 27208708541 31095666904 35250691361 35690226166 54417417082 70501382722 71380452332 108834834164 141002765444 142760904664 217669668328 246754839527 282005530888 493509679054 987019358108 1022270049469 1974038716216 2044540098938 4089080197876 7155890346283 8178160395752 14311780692566 28623561385132 57247122770264