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425442000522 = 2371119290916661
BaseRepresentation
bin1100011000011100101…
…00011011111010001010
31111200010210011220112110
412030032110123322022
523432301123004042
6523240110323150
742510564223440
oct6141624337212
91450123156473
10425442000522
11154479a10a10
126a5537b94b6
1331171600416
141683d124b90
15b1002c909c
hex630e51be8a

425442000522 has 128 divisors (see below), whose sum is σ = 1117127116800. Its totient is φ = 104646124800.

The previous prime is 425442000517. The next prime is 425442000569. The reversal of 425442000522 is 225000244524.

It is a super-2 number, since 2×4254420005222 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 425442000522.

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 63 ways as a sum of consecutive naturals, for example, 25526872 + ... + 25543532.

It is an arithmetic number, because the mean of its divisors is an integer number (8727555600).

Almost surely, 2425442000522 is an apocalyptic number.

425442000522 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 425442000522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558563558400).

425442000522 is an abundant number, since it is smaller than the sum of its proper divisors (691685116278).

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

425442000522 is a wasteful number, since it uses less digits than its factorization.

425442000522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19612.

The product of its (nonzero) digits is 25600, while the sum is 30.

The spelling of 425442000522 in words is "four hundred twenty-five billion, four hundred forty-two million, five hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 133 154 209 231 266 399 418 462 627 798 1254 1463 2909 2926 4389 5818 8727 8778 16661 17454 20363 31999 33322 40726 49983 55271 61089 63998 95997 99966 110542 116627 122178 165813 183271 191994 223993 233254 316559 331626 349881 366542 386897 447986 549813 607981 633118 671979 699762 773794 949677 1099626 1160691 1215962 1282897 1343958 1823943 1899354 2215913 2321382 2565794 3482149 3647886 3848691 4255867 4431826 6647739 6964298 7697382 8511734 10446447 12767601 13295478 20892894 24375043 25535202 48466849 48750086 73125129 96933698 145400547 146250258 290801094 339267943 533135339 678535886 920870131 1017803829 1066270678 1599406017 1841740262 2035607658 2762610393 3198812034 3731947373 5525220786 6446090917 7463894746 10129571441 11195842119 12892181834 19338272751 20259142882 22391684238 30388714323 38676545502 60777428646 70907000087 141814000174 212721000261 425442000522