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19838722500 = 2234543132
BaseRepresentation
bin10010011110011110…
…101110000111000100
31220012121001112010000
4102132132232013010
5311112203110000
613040324401300
71301423234052
oct223636560704
956177045100
1019838722500
118460494933
123a17b46230
131b4215a86c
14d62b031d2
157b1a10000
hex49e7ae1c4

19838722500 has 225 divisors, whose sum is σ = 65014892481. Its totient is φ = 5273424000.

The previous prime is 19838722481. The next prime is 19838722511. The reversal of 19838722500 is 522783891.

It is a happy number.

The square root of 19838722500 is 140850.

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

19838722500 is a `hidden beast` number, since 1 + 98 + 38 + 7 + 22 + 500 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 19025788356 + 812934144 = 137934^2 + 28512^2 .

It is a tau number, because it is divible by the number of its divisors (225).

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 74 ways as a sum of consecutive naturals, for example, 63382344 + ... + 63382656.

Almost surely, 219838722500 is an apocalyptic number.

19838722500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19838722500 is the 140850-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19838722500

19838722500 is an abundant number, since it is smaller than the sum of its proper divisors (45176169981).

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

19838722500 is an frugal number, since it uses more digits than its factorization.

19838722500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 19838722500 in words is "nineteen billion, eight hundred thirty-eight million, seven hundred twenty-two thousand, five hundred".