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18848544100 = 2252137292
BaseRepresentation
bin10001100011011101…
…011111010101100100
31210122120212020200221
4101203131133111210
5302100211402400
612354153414124
71235040660421
oct214335372544
953576766627
1018848544100
117aa256a181
1237a040a344
131a14c7bc99
14cab3d0d48
15754b1dc1a
hex46375f564

18848544100 has 27 divisors (see below), whose sum is σ = 40904320107. Its totient is φ = 7538868480.

The previous prime is 18848544083. The next prime is 18848544101. The reversal of 18848544100 is 144584881.

The square root of 18848544100 is 137290.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1401304356 + 17447239744 = 37434^2 + 132088^2 .

It is a super-2 number, since 2×188485441002 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18848544101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1366036 + ... + 1379764.

Almost surely, 218848544100 is an apocalyptic number.

18848544100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18848544100 is the 137290-th square number.

It is an amenable number.

18848544100 is an abundant number, since it is smaller than the sum of its proper divisors (22055776007).

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

18848544100 is an frugal number, since it uses more digits than its factorization.

18848544100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27472 (or 13736 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 43.

The spelling of 18848544100 in words is "eighteen billion, eight hundred forty-eight million, five hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 13729 27458 54916 68645 137290 274580 343225 686450 1372900 188485441 376970882 753941764 942427205 1884854410 3769708820 4712136025 9424272050 18848544100