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8057037121 = 72128232
BaseRepresentation
bin1111000000011110…
…01010000101000001
3202210111201220010021
413200033022011001
5113000100141441
63411254133441
7403442454100
oct74017120501
922714656107
108057037121
113464a95271
12168a351281
139b52c35b3
145660b4037
153225153d1
hex1e03ca141

8057037121 has 9 divisors (see below), whose sum is σ = 9373202721. Its totient is φ = 6905493252.

The previous prime is 8057037097. The next prime is 8057037127. The reversal of 8057037121 is 1217307508.

The square root of 8057037121 is 89761.

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

8057037121 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-8057037121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8057037127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 621916 + ... + 634738.

It is an arithmetic number, because the mean of its divisors is an integer number (1041466969).

Almost surely, 28057037121 is an apocalyptic number.

8057037121 is the 89761-st square number.

8057037121 is the 44881-st centered octagonal number.

It is an amenable number.

8057037121 is a deficient number, since it is larger than the sum of its proper divisors (1316165600).

8057037121 is an frugal number, since it uses more digits than its factorization.

8057037121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25660 (or 12830 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The cubic root of 8057037121 is about 2004.7418419988.

The spelling of 8057037121 in words is "eight billion, fifty-seven million, thirty-seven thousand, one hundred twenty-one".

Divisors: 1 7 49 12823 89761 628327 164429329 1151005303 8057037121