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45716850432 = 28321117106109
BaseRepresentation
bin101010100100111011…
…111100011100000000
311101000002022121222200
4222210323330130000
51222112003203212
633000234433200
73205622550141
oct524473743400
9141002277880
1045716850432
111842aa74420
128a3a592800
1344075a01b6
1422d9951ac8
1512c883d6dc
hexaa4efc700

45716850432 has 216 divisors, whose sum is σ = 152255965680. Its totient is φ = 13038551040.

The previous prime is 45716850419. The next prime is 45716850481. The reversal of 45716850432 is 23405861754.

45716850432 is a `hidden beast` number, since 4 + 5 + 7 + 168 + 50 + 432 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377794 + ... + 483902.

It is an arithmetic number, because the mean of its divisors is an integer number (704888730).

Almost surely, 245716850432 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 45716850432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76127982840).

45716850432 is an abundant number, since it is smaller than the sum of its proper divisors (106539115248).

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

45716850432 is a wasteful number, since it uses less digits than its factorization.

45716850432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106159 (or 106142 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 45716850432 in words is "forty-five billion, seven hundred sixteen million, eight hundred fifty thousand, four hundred thirty-two".