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81125415822 = 231123714920269
BaseRepresentation
bin100101110001101110…
…0111001101110001110
321202101202210010021110
41023203130321232032
52312121101301242
6101133555112450
75601235441203
oct1134334715616
9252352703243
1081125415822
1131450200700
12138808a2726
13785b344039
143cd8411caa
15219c1c539c
hex12e3739b8e

81125415822 has 96 divisors (see below), whose sum is σ = 184400244000. Its totient is φ = 23757338880.

The previous prime is 81125415809. The next prime is 81125415829. The reversal of 81125415822 is 22851452118.

It is a super-4 number, since 4×811254158224 (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81125415829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3992304 + ... + 4012572.

It is an arithmetic number, because the mean of its divisors is an integer number (1920835875).

Almost surely, 281125415822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81125415822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92200122000).

81125415822 is an abundant number, since it is smaller than the sum of its proper divisors (103274828178).

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

81125415822 is a wasteful number, since it uses less digits than its factorization.

81125415822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20482 (or 20471 counting only the distinct ones).

The product of its digits is 51200, while the sum is 39.

The spelling of 81125415822 in words is "eighty-one billion, one hundred twenty-five million, four hundred fifteen thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 149 222 242 298 363 407 447 726 814 894 1221 1639 2442 3278 4477 4917 5513 8954 9834 11026 13431 16539 18029 20269 26862 33078 36058 40538 54087 60643 60807 108174 121286 121614 181929 222959 363858 445918 667073 668877 749953 1334146 1337754 1499906 2001219 2249859 2452549 3020081 4002438 4499718 4905098 6040162 7357647 8249483 9060243 14715294 16498966 18120486 24748449 33220891 49496898 66441782 90744313 99662673 111742997 181488626 199325346 223485994 272232939 335228991 365429801 544465878 670457982 730859602 1096289403 1229172967 2192578806 2458345934 3687518901 7375037802 13520902637 27041805274 40562707911 81125415822