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45319236288 = 2633137732819
BaseRepresentation
bin101010001101001111…
…001010101011000000
311022222101010201220220
4222031033022223000
51220303211030123
632452552303040
73163024103214
oct521517125300
9138871121826
1045319236288
1118246588a97
1289493a1a80
1343730b5861
14229cc0c944
1512a399bce3
hexa8d3caac0

45319236288 has 224 divisors, whose sum is σ = 128907479040. Its totient is φ = 14024171520.

The previous prime is 45319236233. The next prime is 45319236299. The reversal of 45319236288 is 88263291354.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 45319236288.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16074943 + ... + 16077761.

Almost surely, 245319236288 is an apocalyptic number.

45319236288 is a gapful number since it is divisible by the number (48) 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 45319236288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64453739520).

45319236288 is an abundant number, since it is smaller than the sum of its proper divisors (83588242752).

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

45319236288 is a wasteful number, since it uses less digits than its factorization.

45319236288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2965 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The spelling of 45319236288 in words is "forty-five billion, three hundred nineteen million, two hundred thirty-six thousand, two hundred eighty-eight".