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42526160334 = 23274712295843
BaseRepresentation
bin100111100110110000…
…011011010111001110
311001202201110210000100
4213212300123113032
51144043144112314
631311455111530
73033560253510
oct474660332716
9131681423010
1042526160334
11170429aa759
1282a9b125a6
1340195410a8
1420b5cabbb0
15118d67dc09
hex9e6c1b5ce

42526160334 has 96 divisors (see below), whose sum is σ = 107649285120. Its totient is φ = 11880104256.

The previous prime is 42526160323. The next prime is 42526160359. The reversal of 42526160334 is 43306162524.

42526160334 is a `hidden beast` number, since 4 + 2 + 5 + 2 + 616 + 0 + 3 + 34 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7275217 + ... + 7281059.

It is an arithmetic number, because the mean of its divisors is an integer number (1121346720).

Almost surely, 242526160334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42526160334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53824642560).

42526160334 is an abundant number, since it is smaller than the sum of its proper divisors (65123124786).

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

42526160334 is a wasteful number, since it uses less digits than its factorization.

42526160334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7134 (or 7131 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 42526160334 in words is "forty-two billion, five hundred twenty-six million, one hundred sixty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 282 329 423 658 846 987 1229 1974 2458 2961 3687 5843 5922 7374 8603 11061 11686 17206 17529 22122 25809 35058 40901 51618 52587 57763 77427 81802 105174 115526 122703 154854 173289 245406 274621 346578 368109 404341 519867 549242 736218 808682 823863 1039734 1213023 1647726 1922347 2426046 2471589 3639069 3844694 4943178 5767041 7181047 7278138 11534082 14362094 17301123 21543141 34602246 43086282 50267329 64629423 100534658 129258846 150801987 301603974 337509209 452405961 675018418 904811922 1012527627 2025055254 2362564463 3037582881 4725128926 6075165762 7087693389 14175386778 21263080167 42526160334