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427085753682 = 23743158740193
BaseRepresentation
bin1100011011100000100…
…10110110110101010010
31111211101100012012222010
412031300102312311102
523444132423104212
6524111145523350
742566404002630
oct6156022666522
91454340165863
10427085753682
11155142856aa5
126a9321a3556
1331374015123
1416957568350
15b19976c03c
hex63704b6d52

427085753682 has 64 divisors (see below), whose sum is σ = 980152233984. Its totient is φ = 121530961920.

The previous prime is 427085753657. The next prime is 427085753693. The reversal of 427085753682 is 286357580724.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

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, 10605778 + ... + 10645970.

It is an arithmetic number, because the mean of its divisors is an integer number (15314878656).

Almost surely, 2427085753682 is an apocalyptic number.

427085753682 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

427085753682 is an abundant number, since it is smaller than the sum of its proper divisors (553066480302).

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

427085753682 is a wasteful number, since it uses less digits than its factorization.

427085753682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41223.

The product of its (nonzero) digits is 22579200, while the sum is 57.

The spelling of 427085753682 in words is "four hundred twenty-seven billion, eighty-five million, seven hundred fifty-three thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 431 587 862 1174 1293 1761 2586 3017 3522 4109 6034 8218 9051 12327 18102 24654 40193 80386 120579 241158 252997 281351 505994 562702 758991 844053 1517982 1688106 1770979 3541958 5312937 10625874 17323183 23593291 34646366 47186582 51969549 70779873 103939098 121262281 141559746 165153037 242524562 330306074 363786843 495459111 727573686 990918222 10168708421 20337416842 30506125263 61012250526 71180958947 142361917894 213542876841 427085753682