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570031040016 = 243217237012
BaseRepresentation
bin10000100101110000111…
…11110110011000010000
32000111100102222011000100
420102320133312120100
533314410421240031
61113511343252400
756116620615564
oct10227037663020
92014312864010
10570031040016
111aa826730379
12925862aa100
13419a4b428a9
141d837dd96a4
15ec63d25de6
hex84b87f6610

570031040016 has 135 divisors (see below), whose sum is σ = 1695114164263. Its totient is φ = 178784947200.

The previous prime is 570031039997. The next prime is 570031040023. The reversal of 570031040016 is 610040130075.

The square root of 570031040016 is 755004.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 21981027600 + 548050012416 = 148260^2 + 740304^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 154018966 + ... + 154022666.

Almost surely, 2570031040016 is an apocalyptic number.

570031040016 is the 755004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 570031040016

570031040016 is an abundant number, since it is smaller than the sum of its proper divisors (1125083124247).

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

570031040016 is an equidigital number, since it uses as much as digits as its factorization.

570031040016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7450 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 570031040016 in words is "five hundred seventy billion, thirty-one million, forty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 408 578 612 816 867 1156 1224 1734 2312 2448 2601 3468 3701 4624 5202 6936 7402 10404 11103 13872 14804 20808 22206 29608 33309 41616 44412 59216 62917 66618 88824 125834 133236 177648 188751 251668 266472 377502 503336 532944 566253 755004 1006672 1069589 1132506 1510008 2139178 2265012 3020016 3208767 4278356 4530024 6417534 8556712 9060048 9626301 12835068 13697401 17113424 19252602 25670136 27394802 38505204 41092203 51340272 54789604 77010408 82184406 109579208 123276609 154020816 164368812 219158416 232855817 246553218 328737624 465711634 493106436 657475248 698567451 931423268 986212872 1397134902 1862846536 1972425744 2095702353 2794269804 3725693072 3958548889 4191404706 5588539608 7917097778 8382809412 11177079216 11875646667 15834195556 16765618824 23751293334 31668391112 33531237648 35626940001 47502586668 63336782224 71253880002 95005173336 142507760004 190010346672 285015520008 570031040016