Search a number
-
+
652655556256 = 251143731274651
BaseRepresentation
bin10010111111101010100…
…11010111011010100000
32022101121200120110110111
421133311103113122200
541143114310300011
61215454213341104
765103261460204
oct11376523273240
92271550513414
10652655556256
11231876057340
12a65a5037794
13497119225a2
1423835558b04
1511e9c919121
hex97f54d76a0

652655556256 has 192 divisors, whose sum is σ = 1465736380416. Its totient is φ = 283481856000.

The previous prime is 652655556239. The next prime is 652655556281.

It is a happy number.

652655556256 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6526555562562 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 652655556256.

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, 140323531 + ... + 140328181.

It is an arithmetic number, because the mean of its divisors is an integer number (7634043648).

Almost surely, 2652655556256 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 652655556256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732868190208).

652655556256 is an abundant number, since it is smaller than the sum of its proper divisors (813080824160).

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

652655556256 is a wasteful number, since it uses less digits than its factorization.

652655556256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4915 (or 4907 counting only the distinct ones).

The product of its digits is 81000000, while the sum is 58.

The spelling of 652655556256 in words is "six hundred fifty-two billion, six hundred fifty-five million, five hundred fifty-six thousand, two hundred fifty-six".