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45151165696 = 2871331103607
BaseRepresentation
bin101010000011001110…
…000001110100000000
311022112122212212102011
4222003032001310000
51214432144300241
632424150102304
73155613401410
oct520316016400
9138478785364
1045151165696
111816a72407a
12890104a994
13434732a7c0
14228477c640
151293d4d281
hexa83381d00

45151165696 has 288 divisors, whose sum is σ = 115804602368. Its totient is φ = 17089781760.

The previous prime is 45151165693. The next prime is 45151165729. The reversal of 45151165696 is 69656115154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45151165693) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74383825 + ... + 74384431.

Almost surely, 245151165696 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 45151165696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57902301184).

45151165696 is an abundant number, since it is smaller than the sum of its proper divisors (70653436672).

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

45151165696 is a wasteful number, since it uses less digits than its factorization.

45151165696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 763 counting only the distinct ones).

The product of its digits is 972000, while the sum is 49.

The spelling of 45151165696 in words is "forty-five billion, one hundred fifty-one million, one hundred sixty-five thousand, six hundred ninety-six".