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45911221632 = 2733171734517
BaseRepresentation
bin101010110000100001…
…011010010110000000
311101111122001201011000
4222300201122112000
51223011233043012
633031420452000
73213502642053
oct526041322600
9141448051130
1045911221632
111851a762381
128a936aa000
134438936443
1423176aaa9a
1512da934ddc
hexab085a580

45911221632 has 256 divisors, whose sum is σ = 144333835200. Its totient is φ = 14317092864.

The previous prime is 45911221627. The next prime is 45911221663. The reversal of 45911221632 is 23612211954.

45911221632 is a `hidden beast` number, since 4 + 5 + 9 + 1 + 12 + 2 + 1 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10161838 + ... + 10166354.

Almost surely, 245911221632 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 45911221632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72166917600).

45911221632 is an abundant number, since it is smaller than the sum of its proper divisors (98422613568).

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

45911221632 is a wasteful number, since it uses less digits than its factorization.

45911221632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4730 (or 4712 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 45911221632 in words is "forty-five billion, nine hundred eleven million, two hundred twenty-one thousand, six hundred thirty-two".