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52642658880 = 26325715117293
BaseRepresentation
bin110001000001101111…
…110011101001000000
312000212202110011002200
4301001233303221000
51330303010041010
640103402513200
73542351134410
oct610157635100
9160782404080
1052642658880
1120364454859
12a251b05800
134c6c3ca7c6
1427956b8640
15158189ecc0
hexc41bf3a40

52642658880 has 336 divisors, whose sum is σ = 208318266624. Its totient is φ = 11952230400.

The previous prime is 52642658843. The next prime is 52642658899. The reversal of 52642658880 is 8885624625.

It is a happy number.

52642658880 is a `hidden beast` number, since 52 + 6 + 4 + 2 + 6 + 588 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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, 3035514 + ... + 3052806.

Almost surely, 252642658880 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 52642658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104159133312).

52642658880 is an abundant number, since it is smaller than the sum of its proper divisors (155675607744).

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

52642658880 is a wasteful number, since it uses less digits than its factorization.

52642658880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17474 (or 17461 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 52642658880 in words is "fifty-two billion, six hundred forty-two million, six hundred fifty-eight thousand, eight hundred eighty".