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45756250976 = 2531148731019
BaseRepresentation
bin101010100111010010…
…001111101101100000
311101002211110101101002
4222213102033231200
51222202100012401
633004203131132
73206611500422
oct524722175540
9141084411332
1045756250976
1118450235657
128a4b813aa8
1344127b6c27
142300c8a812
1512cc022a6b
hexaa748fb60

45756250976 has 48 divisors (see below), whose sum is σ = 93054044160. Its totient is φ = 22124519040.

The previous prime is 45756250963. The next prime is 45756250979. The reversal of 45756250976 is 67905265754.

45756250976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45756250979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1459595 + ... + 1490613.

It is an arithmetic number, because the mean of its divisors is an integer number (1938625920).

Almost surely, 245756250976 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 45756250976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46527022080).

45756250976 is an abundant number, since it is smaller than the sum of its proper divisors (47297793184).

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

45756250976 is a wasteful number, since it uses less digits than its factorization.

45756250976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32547 (or 32539 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 56.

The spelling of 45756250976 in words is "forty-five billion, seven hundred fifty-six million, two hundred fifty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 1487 2974 5948 11896 23792 31019 46097 47584 62038 92194 124076 184388 248152 368776 496304 737552 961589 992608 1475104 1923178 3846356 7692712 15385424 30770848 46125253 92250506 184501012 369002024 738004048 1429882843 1476008096 2859765686 5719531372 11439062744 22878125488 45756250976