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42568839864 = 23321925632909
BaseRepresentation
bin100111101001010011…
…001111001010111000
311001212200210010022200
4213221103033022320
51144140110333424
631320021550200
73034616111565
oct475123171270
9131780703280
1042568839864
11170650004a1
128300275360
134025335455
1420bb81b86c
1511922ae8c9
hex9e94cf2b8

42568839864 has 144 divisors (see below), whose sum is σ = 121935925800. Its totient is φ = 13414301568.

The previous prime is 42568839853. The next prime is 42568839881. The reversal of 42568839864 is 46893886524.

42568839864 is a `hidden beast` number, since 4 + 2 + 568 + 8 + 3 + 9 + 8 + 64 = 666.

It is a super-2 number, since 2×425688398642 (a number of 22 digits) contains 22 as substring.

It is a congruent 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 35 ways as a sum of consecutive naturals, for example, 14632042 + ... + 14634950.

Almost surely, 242568839864 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 42568839864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60967962900).

42568839864 is an abundant number, since it is smaller than the sum of its proper divisors (79367085936).

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

42568839864 is a wasteful number, since it uses less digits than its factorization.

42568839864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3496 counting only the distinct ones).

The product of its digits is 79626240, while the sum is 63.

The spelling of 42568839864 in words is "forty-two billion, five hundred sixty-eight million, eight hundred thirty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 563 684 722 1083 1126 1368 1444 1689 2166 2252 2888 2909 3249 3378 4332 4504 5067 5818 6498 6756 8664 8727 10134 10697 11636 12996 13512 17454 20268 21394 23272 25992 26181 32091 34908 40536 42788 52362 55271 64182 69816 85576 96273 104724 110542 128364 165813 192546 203243 209448 221084 256728 331626 385092 406486 442168 497439 609729 663252 770184 812972 994878 1050149 1219458 1326504 1625944 1637767 1829187 1989756 2100298 2438916 3150447 3275534 3658374 3979512 4200596 4877832 4913301 6300894 6551068 7316748 8401192 9451341 9826602 12601788 13102136 14633496 14739903 18902682 19653204 25203576 29479806 31117573 37805364 39306408 58959612 62235146 75610728 93352719 117919224 124470292 186705438 248940584 280058157 373410876 560116314 591233887 746821752 1120232628 1182467774 1773701661 2240465256 2364935548 3547403322 4729871096 5321104983 7094806644 10642209966 14189613288 21284419932 42568839864