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91226034042 = 231113240919997
BaseRepresentation
bin101010011110101111…
…1101100111101111010
322201110200212200122120
41110331133230331322
52443312331042132
6105524134302110
76406444331553
oct1247537547572
9281420780576
1091226034042
1135763799670
121581b4b7936
1387aab30500
1445b5a8732a
15258dd0b02c
hex153d7ecf7a

91226034042 has 96 divisors (see below), whose sum is σ = 216064791360. Its totient is φ = 25454108160.

The previous prime is 91226034023. The next prime is 91226034079. The reversal of 91226034042 is 24043062219.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 91226033994 and 91226034012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4551988 + ... + 4571984.

It is an arithmetic number, because the mean of its divisors is an integer number (2250674910).

Almost surely, 291226034042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91226034042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108032395680).

91226034042 is an abundant number, since it is smaller than the sum of its proper divisors (124838757318).

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

91226034042 is a wasteful number, since it uses less digits than its factorization.

91226034042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20448 (or 20435 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 91226034042 in words is "ninety-one billion, two hundred twenty-six million, thirty-four thousand, forty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 169 286 338 409 429 507 818 858 1014 1227 1859 2454 3718 4499 5317 5577 8998 10634 11154 13497 15951 19997 26994 31902 39994 58487 59991 69121 116974 119982 138242 175461 207363 219967 259961 350922 414726 439934 519922 659901 760331 779883 1319802 1520662 1559766 2280993 2859571 3379493 4561986 5719142 6758986 8178773 8578713 10138479 16357546 17157426 20276958 24536319 37174423 49072638 74348846 89966503 106324049 111523269 179933006 212648098 223046538 269899509 318972147 539799018 637944294 1169564539 1382212637 2339129078 2764425274 3508693617 4146637911 7017387234 8293275822 15204339007 30408678014 45613017021 91226034042