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91149144504 = 233113137301013
BaseRepresentation
bin101010011100011101…
…0011001000110111000
322201021100012022000220
41110320322121012320
52443133140111004
6105512350300040
76404521642035
oct1247072310670
9281240168026
1091149144504
11357243523a0
12157b97b7620
138797c1bb42
1445a979038c
1525871bddd9
hex1538e991b8

91149144504 has 128 divisors (see below), whose sum is σ = 263543777280. Its totient is φ = 26007436800.

The previous prime is 91149144497. The next prime is 91149144533. The reversal of 91149144504 is 40544194119.

It is a super-2 number, since 2×911491445042 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152302 + ... + 453314.

It is an arithmetic number, because the mean of its divisors is an integer number (2058935760).

Almost surely, 291149144504 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 91149144504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131771888640).

91149144504 is an abundant number, since it is smaller than the sum of its proper divisors (172394632776).

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

91149144504 is a wasteful number, since it uses less digits than its factorization.

91149144504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301101 (or 301097 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 91149144504 in words is "ninety-one billion, one hundred forty-nine million, one hundred forty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 37 44 62 66 74 88 93 111 124 132 148 186 222 248 264 296 341 372 407 444 682 744 814 888 1023 1147 1221 1364 1628 2046 2294 2442 2728 3256 3441 4092 4588 4884 6882 8184 9176 9768 12617 13764 25234 27528 37851 50468 75702 100936 151404 301013 302808 602026 903039 1204052 1806078 2408104 3311143 3612156 6622286 7224312 9331403 9933429 11137481 13244572 18662806 19866858 22274962 26489144 27994209 33412443 37325612 39733716 44549924 55988418 66824886 74651224 79467432 89099848 102645433 111976836 122512291 133649772 205290866 223953672 245024582 267299544 307936299 345261911 367536873 410581732 490049164 615872598 690523822 735073746 821163464 980098328 1035785733 1231745196 1381047644 1470147492 2071571466 2463490392 2762095288 2940294984 3797881021 4143142932 7595762042 8286285864 11393643063 15191524084 22787286126 30383048168 45574572252 91149144504