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45854021070 = 23251113192331263
BaseRepresentation
bin101010101101000111…
…001101010111001110
311101100122102121201200
4222231013031113032
51222402112133240
633022014450330
73212206514424
oct525507152716
9141318377650
1045854021070
11184a0443790
128a785039a6
134429b29760
14230dc5b114
1512d58d6930
hexaad1cd5ce

45854021070 has 768 divisors, whose sum is σ = 159411732480. Its totient is φ = 8964172800.

The previous prime is 45854021053. The next prime is 45854021107. The reversal of 45854021070 is 7012045854.

45854021070 is a `hidden beast` number, since 4 + 5 + 8 + 540 + 2 + 107 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 174349759 + ... + 174350021.

It is an arithmetic number, because the mean of its divisors is an integer number (207567360).

Almost surely, 245854021070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45854021070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79705866240).

45854021070 is an abundant number, since it is smaller than the sum of its proper divisors (113557711410).

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

45854021070 is a wasteful number, since it uses less digits than its factorization.

45854021070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 45854021070 in words is "forty-five billion, eight hundred fifty-four million, twenty-one thousand, seventy".