Search a number
-
+
7657650064 = 2413121672
BaseRepresentation
bin1110010000110111…
…00111011110010000
3201202200012221002001
413020123213132100
5111140324300224
63303510003344
7360522644251
oct71033473620
921680187061
107657650064
11327a5a8919
121598646554
13950637cac
1452902cb28
152ec423544
hex1c86e7790

7657650064 has 45 divisors (see below), whose sum is σ = 15040880731. Its totient is φ = 3776845280.

The previous prime is 7657650053. The next prime is 7657650097. The reversal of 7657650064 is 4600567567.

The square root of 7657650064 is 87508.

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

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7657649996 and 7657650023.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 45854109 + ... + 45854275.

Almost surely, 27657650064 is an apocalyptic number.

7657650064 is the 87508-th square number.

It is an amenable number.

7657650064 is a deficient number, since it is larger than the sum of its proper divisors (7383230667).

7657650064 is an equidigital number, since it uses as much as digits as its factorization.

7657650064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 46.

The cubic root of 7657650064 is about 1971.0539220530.

It can be divided in two parts, 7657 and 650064, that added together give a square (657721 = 8112).

The spelling of 7657650064 in words is "seven billion, six hundred fifty-seven million, six hundred fifty thousand, sixty-four".

Divisors: 1 2 4 8 16 131 167 262 334 524 668 1048 1336 2096 2672 17161 21877 27889 34322 43754 55778 68644 87508 111556 137288 175016 223112 274576 350032 446224 2865887 3653459 5731774 7306918 11463548 14613836 22927096 29227672 45854192 58455344 478603129 957206258 1914412516 3828825032 7657650064