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45469544560 = 245112231311559
BaseRepresentation
bin101010010110001100…
…100011000001110000
311100100211222012002221
4222112030203001300
51221110200411220
632515522050424
73166530515566
oct522614430160
9140324865087
1045469544560
1118313410900
12898b7a9a14
134398291b6b
1422b4b77a36
1512b1c8c9aa
hexa96323070

45469544560 has 240 divisors, whose sum is σ = 122257175040. Its totient is φ = 15684697600.

The previous prime is 45469544467. The next prime is 45469544563. The reversal of 45469544560 is 6544596454.

It is a junction number, because it is equal to n+sod(n) for n = 45469544498 and 45469544507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45469544563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29165061 + ... + 29166619.

It is an arithmetic number, because the mean of its divisors is an integer number (509404896).

Almost surely, 245469544560 is an apocalyptic number.

45469544560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45469544560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61128587520).

45469544560 is an abundant number, since it is smaller than the sum of its proper divisors (76787630480).

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

45469544560 is a wasteful number, since it uses less digits than its factorization.

45469544560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 52.

The spelling of 45469544560 in words is "forty-five billion, four hundred sixty-nine million, five hundred forty-four thousand, five hundred sixty".