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45165225126 = 23731245914107
BaseRepresentation
bin101010000100000011…
…101010010010100110
311022120122100011022210
4222010003222102212
51214444244201001
632425411304250
73156144036120
oct520403522246
9138518304283
1045165225126
111817765713a
1289058ab086
13434a210ca8
14228659c210
1512951c8dd6
hexa840ea4a6

45165225126 has 64 divisors (see below), whose sum is σ = 106615848960. Its totient is φ = 12482117280.

The previous prime is 45165225121. The next prime is 45165225199. The reversal of 45165225126 is 62152256154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45165225121) 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, 3194565 + ... + 3208671.

It is an arithmetic number, because the mean of its divisors is an integer number (1665872640).

Almost surely, 245165225126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45165225126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53307924480).

45165225126 is an abundant number, since it is smaller than the sum of its proper divisors (61450623834).

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

45165225126 is a wasteful number, since it uses less digits than its factorization.

45165225126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16609.

The product of its digits is 144000, while the sum is 39.

The spelling of 45165225126 in words is "forty-five billion, one hundred sixty-five million, two hundred twenty-five thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 434 651 1302 2459 4918 7377 14107 14754 17213 28214 34426 42321 51639 76229 84642 98749 103278 152458 197498 228687 296247 437317 457374 533603 592494 874634 1067206 1311951 1600809 2623902 3061219 3201618 6122438 9183657 18367314 34689113 69378226 104067339 208134678 242823791 485647582 728471373 1075362503 1456942746 2150725006 3226087509 6452175018 7527537521 15055075042 22582612563 45165225126