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18969552900 = 22325245912
BaseRepresentation
bin10001101010101011…
…000110100000000100
31210222000120010120100
4101222223012200010
5302322201143100
612414155204100
71241040352644
oct215253064004
953860503510
1018969552900
1180548aa951
123814a46630
131a3406a11c
14cbd4d0524
15760573400
hex46aac6804

18969552900 has 81 divisors (see below), whose sum is σ = 59471963733. Its totient is φ = 5057445600.

The previous prime is 18969552859. The next prime is 18969552911. The reversal of 18969552900 is 925596981.

The square root of 18969552900 is 137730.

It is a perfect power (a square), and thus also a powerful number.

18969552900 is a `hidden beast` number, since 1 + 89 + 6 + 9 + 552 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6829039044 + 12140513856 = 82638^2 + 110184^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4129605 + ... + 4134195.

Almost surely, 218969552900 is an apocalyptic number.

18969552900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18969552900 is the 137730-th square number.

It is an amenable number.

18969552900 is an abundant number, since it is smaller than the sum of its proper divisors (40502410833).

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

18969552900 is an equidigital number, since it uses as much as digits as its factorization.

18969552900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9202 (or 4601 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 18969552900 in words is "eighteen billion, nine hundred sixty-nine million, five hundred fifty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 4591 9182 13773 18364 22955 27546 41319 45910 55092 68865 82638 91820 114775 137730 165276 206595 229550 275460 344325 413190 459100 688650 826380 1032975 1377300 2065950 4131900 21077281 42154562 63231843 84309124 105386405 126463686 189695529 210772810 252927372 316159215 379391058 421545620 526932025 632318430 758782116 948477645 1053864050 1264636860 1580796075 1896955290 2107728100 3161592150 3793910580 4742388225 6323184300 9484776450 18969552900