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91355114412 = 223353107149159
BaseRepresentation
bin101010100010100110…
…0000110101110101100
322201210200202122122000
41111011030012232230
52444043402130122
6105545025052300
76412602442302
oct1250514065654
9281720678560
1091355114412
113581a642661
1215856787090
1387cb7b6523
1445c8c88272
15259a3070ac
hex1545306bac

91355114412 has 96 divisors (see below), whose sum is σ = 243572313600. Its totient is φ = 29597720256.

The previous prime is 91355114401. The next prime is 91355114413. The reversal of 91355114412 is 21441155319.

91355114412 is a `hidden beast` number, since 9 + 135 + 511 + 4 + 4 + 1 + 2 = 666.

It is a super-2 number, since 2×913551144122 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (91355114413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 537889 + ... + 687047.

It is an arithmetic number, because the mean of its divisors is an integer number (2537211600).

Almost surely, 291355114412 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 91355114412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121786156800).

91355114412 is an abundant number, since it is smaller than the sum of its proper divisors (152217199188).

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

91355114412 is a wasteful number, since it uses less digits than its factorization.

91355114412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149332 (or 149324 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The spelling of 91355114412 in words is "ninety-one billion, three hundred fifty-five million, one hundred fourteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 107 108 159 212 214 318 321 428 477 636 642 954 963 1284 1431 1908 1926 2862 2889 3852 5671 5724 5778 11342 11556 17013 22684 34026 51039 68052 102078 149159 153117 204156 298318 306234 447477 596636 612468 894954 1342431 1789908 2684862 4027293 5369724 7905427 8054586 15810854 15960013 16109172 23716281 31621708 31920026 47432562 47880039 63840052 71148843 94865124 95760078 142297686 143640117 191520156 213446529 284595372 287280234 426893058 430920351 574560468 845880689 853786116 861840702 1691761378 1723681404 2537642067 3383522756 5075284134 7612926201 10150568268 15225852402 22838778603 30451704804 45677557206 91355114412