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99099000090 = 23253593306457
BaseRepresentation
bin101110001001011000…
…0101011110100011010
3100110210101020210201200
41130102300223310122
53110423321000330
6113305255255030
710105523413416
oct1342260536432
9313711223650
1099099000090
1139033890582
121725807a476
139463c55bbc
144b21523d46
1528a00b1a60
hex1712c2bd1a

99099000090 has 48 divisors (see below), whose sum is σ = 257729952168. Its totient is φ = 26418958848.

The previous prime is 99099000067. The next prime is 99099000107. The reversal of 99099000090 is 9000099099.

It can be written as a sum of positive squares in 4 ways, for example, as 68354533809 + 30744466281 = 261447^2 + 175341^2 .

It is a super-2 number, since 2×990990000902 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170142 + ... + 476598.

Almost surely, 299099000090 is an apocalyptic number.

99099000090 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99099000090 is an abundant number, since it is smaller than the sum of its proper divisors (158630952078).

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

99099000090 is a wasteful number, since it uses less digits than its factorization.

99099000090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310063 (or 310060 counting only the distinct ones).

The product of its (nonzero) digits is 59049, while the sum is 45.

The spelling of 99099000090 in words is "ninety-nine billion, ninety-nine million, ninety", and thus it is an aban number and an uban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 3593 7186 10779 17965 21558 32337 35930 53895 64674 107790 161685 306457 323370 612914 919371 1532285 1838742 2758113 3064570 4596855 5516226 9193710 13790565 27581130 1101100001 2202200002 3303300003 5505500005 6606600006 9909900009 11011000010 16516500015 19819800018 33033000030 49549500045 99099000090