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99016811296 = 25132371145757
BaseRepresentation
bin101110000110111011…
…1001010001100100000
3100110120122121011220021
41130031313022030200
53110241300430141
6113253201523224
710103505003064
oct1341567121440
9313518534807
1099016811296
1138aa1454957
1217234643514
13944cc0a490
144b1464baa4
152897c796d1
hex170ddca320

99016811296 has 96 divisors (see below), whose sum is σ = 222149184768. Its totient is φ = 43097134080.

The previous prime is 99016811281. The next prime is 99016811323. The reversal of 99016811296 is 69211861099.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 606450 + ... + 752206.

It is an arithmetic number, because the mean of its divisors is an integer number (2314054008).

Almost surely, 299016811296 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 99016811296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111074592384).

99016811296 is an abundant number, since it is smaller than the sum of its proper divisors (123132373472).

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

99016811296 is a wasteful number, since it uses less digits than its factorization.

99016811296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145874 (or 145866 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 52.

The spelling of 99016811296 in words is "ninety-nine billion, sixteen million, eight hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 71 92 104 142 184 208 284 299 368 416 568 598 736 923 1136 1196 1633 1846 2272 2392 3266 3692 4784 6532 7384 9568 13064 14768 21229 26128 29536 42458 52256 84916 145757 169832 291514 339664 583028 679328 1166056 1894841 2332112 3352411 3789682 4664224 6704822 7579364 10348747 13409644 15158728 20697494 26819288 30317456 41394988 43581343 53638576 60634912 82789976 87162686 107277152 134533711 165579952 174325372 238021181 269067422 331159904 348650744 476042362 538134844 697301488 952084724 1076269688 1394602976 1904169448 2152539376 3094275353 3808338896 4305078752 6188550706 7616677792 12377101412 24754202824 49508405648 99016811296