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91125391212 = 2232531512111499
BaseRepresentation
bin101010011011101111…
…1110001111101101100
322201012200111111122100
41110313133301331230
52443111100004322
6105510141215100
76404113021332
oct1246737617554
9281180444570
1091125391212
11357119a9179
12157b1861490
13879302323b
1445a6569b52
15258507adac
hex15377f1f6c

91125391212 has 144 divisors (see below), whose sum is σ = 237523104000. Its totient is φ = 29444688000.

The previous prime is 91125391187. The next prime is 91125391223. The reversal of 91125391212 is 21219352119.

91125391212 is a `hidden beast` number, since 9 + 112 + 539 + 1 + 2 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 60790039 + ... + 60791537.

It is an arithmetic number, because the mean of its divisors is an integer number (1649466000).

Almost surely, 291125391212 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 91125391212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118761552000).

91125391212 is an abundant number, since it is smaller than the sum of its proper divisors (146397712788).

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

91125391212 is a wasteful number, since it uses less digits than its factorization.

91125391212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1919 counting only the distinct ones).

The product of its digits is 9720, while the sum is 36.

The spelling of 91125391212 in words is "ninety-one billion, one hundred twenty-five million, three hundred ninety-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 151 159 211 212 302 318 422 453 477 604 633 636 844 906 954 1266 1359 1499 1812 1899 1908 2532 2718 2998 3798 4497 5436 5996 7596 8003 8994 11183 13491 16006 17988 22366 24009 26982 31861 32012 33549 44732 48018 53964 63722 67098 72027 79447 95583 96036 100647 127444 134196 144054 158894 191166 201294 226349 238341 286749 288108 316289 317788 382332 402588 452698 476682 573498 632578 679047 715023 905396 948867 953364 1146996 1265156 1358094 1430046 1688633 1897734 2037141 2716188 2846601 2860092 3377266 3795468 4074282 5065899 5693202 6754532 8148564 10131798 11386404 11996497 15197697 16763317 20263596 23992994 30395394 33526634 35989491 47759639 47985988 50289951 60790788 67053268 71978982 95519278 100579902 107968473 143278917 143957964 150869853 191038556 201159804 215936946 286557834 301739706 429836751 431873892 573115668 603479412 859673502 1719347004 2531260867 5062521734 7593782601 10125043468 15187565202 22781347803 30375130404 45562695606 91125391212