Search a number
-
+
656980552080 = 243357927114207
BaseRepresentation
bin10011000111101110001…
…01111010100110010000
32022210210002211000101000
421203313011322212100
541230444010131310
61221451313142000
765315406360366
oct11436705724620
92283702730330
10656980552080
11233695437756
12a73b155a900
1349c50984108
1423b25b0b636
15121524894c0
hex98f717a990

656980552080 has 320 divisors, whose sum is σ = 2300195635200. Its totient is φ = 172326735360.

The previous prime is 656980552079. The next prime is 656980552097. The reversal of 656980552080 is 80255089656.

656980552080 is a `hidden beast` number, since 6 + 5 + 6 + 9 + 8 + 0 + 552 + 0 + 80 = 666.

656980552080 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 2×6569805520802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46236337 + ... + 46250543.

It is an arithmetic number, because the mean of its divisors is an integer number (7188111360).

Almost surely, 2656980552080 is an apocalyptic number.

656980552080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 656980552080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150097817600).

656980552080 is an abundant number, since it is smaller than the sum of its proper divisors (1643215083120).

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

656980552080 is a wasteful number, since it uses less digits than its factorization.

656980552080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14579 (or 14567 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 656980552080 in words is "six hundred fifty-six billion, nine hundred eighty million, five hundred fifty-two thousand, eighty".