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42004116066 = 23113131764763
BaseRepresentation
bin100111000111101000…
…111111001001100010
311000102100011011220110
4213013220333021202
51142011023203231
631144005552150
73014621044533
oct470750771142
9130370134813
1042004116066
11168a5257110
128183115656
133c6533b263
14206681868a
15115c90e046
hex9c7a3f262

42004116066 has 64 divisors (see below), whose sum is σ = 94901538816. Its totient is φ = 12278875200.

The previous prime is 42004116047. The next prime is 42004116083. The reversal of 42004116066 is 66061140024.

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, 616201 + ... + 680963.

It is an arithmetic number, because the mean of its divisors is an integer number (1482836544).

Almost surely, 242004116066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42004116066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47450769408).

42004116066 is an abundant number, since it is smaller than the sum of its proper divisors (52897422750).

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

42004116066 is a wasteful number, since it uses less digits than its factorization.

42004116066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65127.

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 42004116066 in words is "forty-two billion, four million, one hundred sixteen thousand, sixty-six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 317 341 634 682 951 1023 1902 2046 3487 6974 9827 10461 19654 20922 29481 58962 64763 108097 129526 194289 216194 324291 388578 648582 712393 1424786 2007653 2137179 4015306 4274358 6022959 12045918 20529871 22084183 41059742 44168366 61589613 66252549 123179226 132505098 225828581 451657162 636426001 677485743 1272852002 1354971486 1909278003 3818556006 7000686011 14001372022 21002058033 42004116066