Search a number
-
+
64891846656 = 21633713231
BaseRepresentation
bin111100011011110110…
…110000000000000000
320012111102110100211000
4330123312300000000
52030344303043111
645451053252000
74455036411210
oct743366600000
9205442410730
1064891846656
112557a83493a
12106b0194000
13617207c100
1431d8440240
151a4be43c56
hexf1bdb0000

64891846656 has 816 divisors, whose sum is σ = 245616568320. Its totient is φ = 16562257920.

The previous prime is 64891846639. The next prime is 64891846673. The reversal of 64891846656 is 65664819846.

It is an interprime number because it is at equal distance from previous prime (64891846639) and next prime (64891846673).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 64891846593 and 64891846602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2093285361 + ... + 2093285391.

Almost surely, 264891846656 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 64891846656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122808284160).

64891846656 is an abundant number, since it is smaller than the sum of its proper divisors (180724721664).

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

64891846656 is an equidigital number, since it uses as much as digits as its factorization.

64891846656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 56 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 64891846656 in words is "sixty-four billion, eight hundred ninety-one million, eight hundred forty-six thousand, six hundred fifty-six".