Search a number
-
+
65648047296 = 263133198191
BaseRepresentation
bin111101001000111011…
…011011010011000000
320021110010101100002010
4331020323123103000
52033421400003141
650054105252520
74512551123616
oct751073332300
9207403340063
1065648047296
112592867a647
1210881494140
136262938000
14326aa476b6
151a93518416
hexf48edb4c0

65648047296 has 224 divisors, whose sum is σ = 198089113600. Its totient is φ = 19133936640.

The previous prime is 65648047249. The next prime is 65648047319. The reversal of 65648047296 is 69274084656.

65648047296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×656480472962 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8010561 + ... + 8018751.

It is an arithmetic number, because the mean of its divisors is an integer number (884326400).

Almost surely, 265648047296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65648047296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99044556800).

65648047296 is an abundant number, since it is smaller than the sum of its proper divisors (132441066304).

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

65648047296 is a wasteful number, since it uses less digits than its factorization.

65648047296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8264 (or 8228 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 65648047296 in words is "sixty-five billion, six hundred forty-eight million, forty-seven thousand, two hundred ninety-six".