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45221919344 = 2471632838753
BaseRepresentation
bin101010000111011011…
…111011101001110000
311022201121000112011122
4222013123323221300
51220103302404334
632435154401412
73160432654310
oct520733735160
9138647015148
1045221919344
11181a665a368
128920890268
134358ba1374
14228dd19440
15129a17732e
hexa876fba70

45221919344 has 80 divisors (see below), whose sum is σ = 101116123392. Its totient is φ = 19191665664.

The previous prime is 45221919329. The next prime is 45221919367. The reversal of 45221919344 is 44391912254.

It is a junction number, because it is equal to n+sod(n) for n = 45221919295 and 45221919304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5162072 + ... + 5170824.

Almost surely, 245221919344 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 45221919344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50558061696).

45221919344 is an abundant number, since it is smaller than the sum of its proper divisors (55894204048).

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

45221919344 is a wasteful number, since it uses less digits than its factorization.

45221919344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9214 (or 9208 counting only the distinct ones).

The product of its digits is 311040, while the sum is 44.

The spelling of 45221919344 in words is "forty-five billion, two hundred twenty-one million, nine hundred nineteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 163 283 326 566 652 1132 1141 1304 1981 2264 2282 2608 3962 4528 4564 7924 8753 9128 15848 17506 18256 31696 35012 46129 61271 70024 92258 122542 140048 184516 245084 322903 369032 490168 645806 738064 980336 1291612 1426739 2477099 2583224 2853478 4954198 5166448 5706956 9908396 9987173 11413912 17339693 19816792 19974346 22827824 34679386 39633584 39948692 69358772 79897384 138717544 159794768 277435088 403767137 807534274 1615068548 2826369959 3230137096 5652739918 6460274192 11305479836 22610959672 45221919344