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45773845632 = 2733611791213
BaseRepresentation
bin101010101000010101…
…010111010010000000
311101011001120021201000
4222220111113102000
51222221101030012
633010032212000
73210214160664
oct525025272200
9141131507630
1045773845632
111845a162799
128a5569a000
134416337578
14230334a8a4
1512cd84addc
hexaa8557480

45773845632 has 256 divisors, whose sum is σ = 138192048000. Its totient is φ = 14911672320.

The previous prime is 45773845603. The next prime is 45773845679. The reversal of 45773845632 is 23654837754.

It is a happy number.

45773845632 is a `hidden beast` number, since 4 + 5 + 7 + 73 + 8 + 4 + 563 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 37735458 + ... + 37736670.

Almost surely, 245773845632 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 45773845632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69096024000).

45773845632 is an abundant number, since it is smaller than the sum of its proper divisors (92418202368).

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

45773845632 is a wasteful number, since it uses less digits than its factorization.

45773845632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1458 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 54.

The spelling of 45773845632 in words is "forty-five billion, seven hundred seventy-three million, eight hundred forty-five thousand, six hundred thirty-two".