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527422013568 = 2732213972
BaseRepresentation
bin1111010110011001100…
…11010100000010000000
31212102100221120100001200
413223030303110002000
532120130013413233
61042143324101200
753051003100642
oct7531463240200
91772327510050
10527422013568
11193750a8212a
1286274694800
133a9743a99c8
141b75511a892
15dabd279313
hex7acccd4080

527422013568 has 72 divisors (see below), whose sum is σ = 1517782718205. Its totient is φ = 175799121408.

The previous prime is 527422013561. The next prime is 527422013603. The reversal of 527422013568 is 865310224725.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

527422013568 is a `hidden beast` number, since 5 + 2 + 74 + 2 + 2 + 0 + 13 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 327999034944 + 199422978624 = 572712^2 + 446568^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=513528.

It is a super-2 number, since 2×5274220135682 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (527422013561) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24638646 + ... + 24660042.

Almost surely, 2527422013568 is an apocalyptic number.

It is an amenable number.

527422013568 is an abundant number, since it is smaller than the sum of its proper divisors (990360704637).

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

527422013568 is an frugal number, since it uses more digits than its factorization.

527422013568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42814 (or 21402 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 527422013568 in words is "five hundred twenty-seven billion, four hundred twenty-two million, thirteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 21397 42794 64191 85588 128382 171176 192573 256764 342352 385146 513528 684704 770292 1027056 1369408 1540584 2054112 2738816 3081168 4108224 6162336 8216448 12324672 24649344 457831609 915663218 1373494827 1831326436 2746989654 3662652872 4120484481 5493979308 7325305744 8240968962 10987958616 14650611488 16481937924 21975917232 29301222976 32963875848 43951834464 58602445952 65927751696 87903668928 131855503392 175807337856 263711006784 527422013568