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19493120900 = 225211107165617
BaseRepresentation
bin10010001001111000…
…010110101110000100
31212022111202010211202
4102021320112232010
5304410214332100
612542141122032
71260025536161
oct221170265604
955274663752
1019493120900
1182a33a4280
123940259318
131ab8684686
14d2cc5d068
157914e47d5
hex489e16b84

19493120900 has 72 divisors (see below), whose sum is σ = 46577081376. Its totient is φ = 7022118400.

The previous prime is 19493120887. The next prime is 19493120947. The reversal of 19493120900 is 902139491.

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, 34892 + ... + 200508.

It is an arithmetic number, because the mean of its divisors is an integer number (646903908).

Almost surely, 219493120900 is an apocalyptic number.

19493120900 is a gapful number since it is divisible by the number (10) 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 19493120900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23288540688).

19493120900 is an abundant number, since it is smaller than the sum of its proper divisors (27083960476).

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

19493120900 is a wasteful number, since it uses less digits than its factorization.

19493120900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165749 (or 165742 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 38.

The spelling of 19493120900 in words is "nineteen billion, four hundred ninety-three million, one hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 107 110 214 220 275 428 535 550 1070 1100 1177 2140 2354 2675 4708 5350 5885 10700 11770 23540 29425 58850 117700 165617 331234 662468 828085 1656170 1821787 3312340 3643574 4140425 7287148 8280850 9108935 16561700 17721019 18217870 35442038 36435740 45544675 70884076 88605095 91089350 177210190 182178700 194931209 354420380 389862418 443025475 779724836 886050950 974656045 1772101900 1949312090 3898624180 4873280225 9746560450 19493120900