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45213548544 = 220331597
BaseRepresentation
bin101010000110111100…
…000000000000000000
311022201000021020121000
4222012330000000000
51220044132023134
632434255132000
73160301551533
oct520674000000
9138630236530
1045213548544
11181a196224a
128919b14000
134357230228
14228cb7aa1a
151299571e99
hexa86f00000

45213548544 has 168 divisors, whose sum is σ = 134049891920. Its totient is φ = 15061745664.

The previous prime is 45213548533. The next prime is 45213548593. The reversal of 45213548544 is 44584531254.

45213548544 is a `hidden beast` number, since 4 + 52 + 1 + 3 + 54 + 8 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45213548544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28310754 + ... + 28312350.

Almost surely, 245213548544 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 45213548544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67024945960).

45213548544 is an abundant number, since it is smaller than the sum of its proper divisors (88836343376).

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

45213548544 is an frugal number, since it uses more digits than its factorization.

45213548544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1602 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 45.

The spelling of 45213548544 in words is "forty-five billion, two hundred thirteen million, five hundred forty-eight thousand, five hundred forty-four".