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99090090180 = 22335541339187
BaseRepresentation
bin101110001001000111…
…0101100100011000100
3100110202202111010122000
41130102032230203010
53110414030341210
6113304340305300
710105354604124
oct1342216544304
9313682433560
1099090090180
1139029855414
12172550a2230
139462156573
144b20284c84
15289e401ac0
hex17123ac8c4

99090090180 has 96 divisors (see below), whose sum is σ = 308851025280. Its totient is φ = 26375103360.

The previous prime is 99090090173. The next prime is 99090090221. The reversal of 99090090180 is 8109009099.

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 31 ways as a sum of consecutive naturals, for example, 122547 + ... + 461733.

It is an arithmetic number, because the mean of its divisors is an integer number (3217198180).

Almost surely, 299090090180 is an apocalyptic number.

99090090180 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99090090180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154425512640).

99090090180 is an abundant number, since it is smaller than the sum of its proper divisors (209760935100).

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

99090090180 is a wasteful number, since it uses less digits than its factorization.

99090090180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339746 (or 339738 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The spelling of 99090090180 in words is "ninety-nine billion, ninety million, ninety thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 541 1082 1623 2164 2705 3246 4869 5410 6492 8115 9738 10820 14607 16230 19476 24345 29214 32460 48690 58428 73035 97380 146070 292140 339187 678374 1017561 1356748 1695935 2035122 3052683 3391870 4070244 5087805 6105366 6783740 9158049 10175610 12210732 15263415 18316098 20351220 30526830 36632196 45790245 61053660 91580490 183160980 183500167 367000334 550500501 734000668 917500835 1101001002 1651501503 1835001670 2202002004 2752502505 3303003006 3670003340 4954504509 5505005010 6606006012 8257507515 9909009018 11010010020 16515015030 19818018036 24772522545 33030030060 49545045090 99090090180