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18782702500 = 225427412
BaseRepresentation
bin10001011111100010…
…010100101110100100
31210110222222011000011
4101133202110232210
5301431332440000
612343442300004
71233311223412
oct213742245644
953428864004
1018782702500
117a69389431
123782357604
131a04438163
14ca27722b2
1574de652ba
hex45f894ba4

18782702500 has 45 divisors (see below), whose sum is σ = 41089004341. Its totient is φ = 7510340000.

The previous prime is 18782702479. The next prime is 18782702503. The reversal of 18782702500 is 520728781.

The square root of 18782702500 is 137050.

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

It can be written as a sum of positive squares in 7 ways, for example, as 17232863076 + 1549839424 = 131274^2 + 39368^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (18782702503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 6851130 + ... + 6853870.

Almost surely, 218782702500 is an apocalyptic number.

18782702500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18782702500 is the 137050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18782702500

18782702500 is an abundant number, since it is smaller than the sum of its proper divisors (22306301841).

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

18782702500 is an frugal number, since it uses more digits than its factorization.

18782702500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5506 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 40.

The spelling of 18782702500 in words is "eighteen billion, seven hundred eighty-two million, seven hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 2741 5482 10964 13705 27410 54820 68525 137050 274100 342625 685250 1370500 1713125 3426250 6852500 7513081 15026162 30052324 37565405 75130810 150261620 187827025 375654050 751308100 939135125 1878270250 3756540500 4695675625 9391351250 18782702500