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531085421572608 = 2937237612078789
BaseRepresentation
bin111100011000001001111010…
…1111001011111001000000000
32120122102021022011110022212010
41320300103311321133020000
51024102300420410310413
65121305135144132520
7216602440556602650
oct17060236571371000
92518367264408763
10531085421572608
11144247076122611
124b693ab5167140
1319a451a94b78b6
149520958a68360
15415eb3d388dc3
hex1e304f5e5f200

531085421572608 has 160 divisors (see below), whose sum is σ = 1617034264433280. Its totient is φ = 151732232847360.

The previous prime is 531085421572583. The next prime is 531085421572633. The reversal of 531085421572608 is 806275124580135.

It is an interprime number because it is at equal distance from previous prime (531085421572583) and next prime (531085421572633).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254438878 + ... + 256517666.

It is an arithmetic number, because the mean of its divisors is an integer number (10106464152708).

Almost surely, 2531085421572608 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 531085421572608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808517132216640).

531085421572608 is an abundant number, since it is smaller than the sum of its proper divisors (1085948842860672).

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

531085421572608 is a wasteful number, since it uses less digits than its factorization.

531085421572608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102578 (or 2102562 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 57.

The spelling of 531085421572608 in words is "five hundred thirty-one trillion, eighty-five billion, four hundred twenty-one million, five hundred seventy-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 23761 47522 71283 95044 142566 166327 190088 285132 332654 380176 498981 570264 665308 760352 997962 1140528 1330616 1520704 1995924 2078789 2281056 2661232 3041408 3991848 4157578 4562112 5322464 6082816 6236367 7983696 8315156 9124224 10644928 12165632 12472734 14551523 15967392 16630312 18248448 21289856 24945468 29103046 31934784 33260624 36496896 42579712 43654569 49890936 58206092 63869568 66521248 85159424 87309138 99781872 116412184 127739136 133042496 174618276 199563744 232824368 255478272 266084992 349236552 399127488 465648736 532169984 698473104 798254976 931297472 1064339968 1396946208 1596509952 1862594944 2793892416 3193019904 3725189888 5587784832 7450379776 11175569664 22351139328 49394105429 98788210858 148182316287 197576421716 296364632574 345758738003 395152843432 592729265148 691517476006 790305686864 1037276214009 1185458530296 1383034952012 1580611373728 2074552428018 2370917060592 2766069904024 3161222747456 4149104856036 4741834121184 5532139808048 6322445494912 8298209712072 9483668242368 11064279616096 12644890989824 16596419424144 18967336484736 22128559232192 25289781979648 33192838848288 37934672969472 44257118464384 66385677696576 75869345938944 88514236928768 132771355393152 177028473857536 265542710786304 531085421572608