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42513290904 = 23377313725303
BaseRepresentation
bin100111100101111111…
…010101011010011000
311001201211020221110210
4213211333111122120
51144031400302104
631310315211120
73033343003350
oct474577253230
9131654227423
1042513290904
111703670a767
1282a5746aa0
134016986446
1420b42bbb60
15118c48a989
hex9e5fd5698

42513290904 has 128 divisors (see below), whose sum is σ = 124034135040. Its totient is φ = 11892344832.

The previous prime is 42513290903. The next prime is 42513290909. The reversal of 42513290904 is 40909231524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42513290903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1667517 + ... + 1692819.

It is an arithmetic number, because the mean of its divisors is an integer number (969016680).

Almost surely, 242513290904 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 42513290904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62017067520).

42513290904 is an abundant number, since it is smaller than the sum of its proper divisors (81520844136).

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

42513290904 is a wasteful number, since it uses less digits than its factorization.

42513290904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25529 (or 25525 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 42513290904 in words is "forty-two billion, five hundred thirteen million, two hundred ninety thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 137 146 168 219 274 292 411 438 511 548 584 822 876 959 1022 1096 1533 1644 1752 1918 2044 2877 3066 3288 3836 4088 5754 6132 7672 10001 11508 12264 20002 23016 25303 30003 40004 50606 60006 70007 75909 80008 101212 120012 140014 151818 177121 202424 210021 240024 280028 303636 354242 420042 531363 560056 607272 708484 840084 1062726 1416968 1680168 1847119 2125452 3466511 3694238 4250904 5541357 6933022 7388476 10399533 11082714 12929833 13866044 14776952 20799066 22165428 24265577 25859666 27732088 38789499 41598132 44330856 48531154 51719332 72796731 77578998 83196264 97062308 103438664 145593462 155157996 194124616 253055303 291186924 310315992 506110606 582373848 759165909 1012221212 1518331818 1771387121 2024442424 3036663636 3542774242 5314161363 6073327272 7085548484 10628322726 14171096968 21256645452 42513290904