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38995190784 = 21032114172
BaseRepresentation
bin100100010100010010…
…110110010000000000
310201122122022221101100
4210110102312100000
51114330232101114
625525242134400
72550223436604
oct442422662000
9121578287340
1038995190784
11155a0850000
1276834b1400
1338a5b503b4
141c5cd6b504
1510336a5909
hex9144b6400

38995190784 has 495 divisors, whose sum is σ = 131571037585. Its totient is φ = 11121623040.

The previous prime is 38995190753. The next prime is 38995190827. The reversal of 38995190784 is 48709159983.

The square root of 38995190784 is 197472.

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

38995190784 is a `hidden beast` number, since 38 + 9 + 9 + 519 + 0 + 7 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30359577600 + 8635613184 = 174240^2 + 92928^2 .

It is a Duffinian number.

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 44 ways as a sum of consecutive naturals, for example, 2293834744 + ... + 2293834760.

Almost surely, 238995190784 is an apocalyptic number.

38995190784 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

38995190784 is the 197472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38995190784

38995190784 is an abundant number, since it is smaller than the sum of its proper divisors (92575846801).

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

38995190784 is an equidigital number, since it uses as much as digits as its factorization.

38995190784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 38995190784 in words is "thirty-eight billion, nine hundred ninety-five million, one hundred ninety thousand, seven hundred eighty-four".