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19882410025 = 52282012
BaseRepresentation
bin10010100001000101…
…011000000000101001
31220022122021002010111
4102201011120000221
5311204344110100
613044525014321
71302463460662
oct224105300051
956278232114
1019882410025
118483113a25
123a2a6b43a1
131b4b21597a
14d68836369
157b578e6ba
hex4a1158029

19882410025 has 9 divisors (see below), whose sum is σ = 24655062693. Its totient is φ = 15905364000.

The previous prime is 19882410017. The next prime is 19882410073. The reversal of 19882410025 is 52001428891.

The square root of 19882410025 is 141005.

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 13816089 + 19868593936 = 3717^2 + 140956^2 .

It is not a de Polignac number, because 19882410025 - 23 = 19882410017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 19882410025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 690925 + ... + 719125.

Almost surely, 219882410025 is an apocalyptic number.

19882410025 is the 141005-th square number.

19882410025 is the 70503-rd centered octagonal number.

It is an amenable number.

19882410025 is a deficient number, since it is larger than the sum of its proper divisors (4772652668).

19882410025 is an frugal number, since it uses more digits than its factorization.

19882410025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56412 (or 28206 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

It can be divided in two parts, 198824 and 10025, that added together give a square (208849 = 4572).

The spelling of 19882410025 in words is "nineteen billion, eight hundred eighty-two million, four hundred ten thousand, twenty-five".

Divisors: 1 5 25 28201 141005 705025 795296401 3976482005 19882410025