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7157836816 = 2413216272
BaseRepresentation
bin1101010101010001…
…11110110000010000
3200110211201210012021
412222220332300100
5104124401234231
63142133141224
7342243415624
oct65250766020
920424653167
107157836816
113043459819
12147918a814
138a0c19c00
144bc8c5184
152bd5e5811
hex1aaa3ec10

7157836816 has 45 divisors (see below), whose sum is σ = 15026398461. Its totient is φ = 3301586496.

The previous prime is 7157836799. The next prime is 7157836823. The reversal of 7157836816 is 6186387517.

The square root of 7157836816 is 84604.

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

It can be written as a sum of positive squares in only one way, i.e., 1058851600 + 6098985216 = 32540^2 + 78096^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4398595 + ... + 4400221.

Almost surely, 27157836816 is an apocalyptic number.

7157836816 is the 84604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7157836816

7157836816 is an abundant number, since it is smaller than the sum of its proper divisors (7868561645).

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

7157836816 is an equidigital number, since it uses as much as digits as its factorization.

7157836816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288 (or 1642 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 52.

The cubic root of 7157836816 is about 1927.2021184430.

The spelling of 7157836816 in words is "seven billion, one hundred fifty-seven million, eight hundred thirty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 1627 2704 3254 6508 13016 21151 26032 42302 84604 169208 274963 338416 549926 1099852 2199704 2647129 4399408 5294258 10588516 21177032 34412677 42354064 68825354 137650708 275301416 447364801 550602832 894729602 1789459204 3578918408 7157836816