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45360736434 = 232131257715413
BaseRepresentation
bin101010001111101101…
…011110100010110010
311100002021020011102100
4222033231132202302
51220344322031214
632501034001230
73164036616666
oct521755364262
9140067204370
1045360736434
1118267a53732
12895b276216
13437b886160
1422a45328a6
1512a7448309
hexa8fb5e8b2

45360736434 has 48 divisors (see below), whose sum is σ = 105857001432. Its totient is φ = 13955134464.

The previous prime is 45360736433. The next prime is 45360736441. The reversal of 45360736434 is 43463706354.

45360736434 is a `hidden beast` number, since 4 + 5 + 3 + 607 + 3 + 6 + 4 + 34 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44573765625 + 786970809 = 211125^2 + 28053^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 45360736434.

It is not an unprimeable number, because it can be changed into a prime (45360736433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2935312 + ... + 2950724.

Almost surely, 245360736434 is an apocalyptic number.

45360736434 is an abundant number, since it is smaller than the sum of its proper divisors (60496264998).

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

45360736434 is a wasteful number, since it uses less digits than its factorization.

45360736434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28011 (or 28008 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 45360736434 in words is "forty-five billion, three hundred sixty million, seven hundred thirty-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 12577 15413 25154 30826 37731 46239 75462 92478 113193 138717 163501 200369 226386 277434 327002 400738 490503 601107 981006 1202214 1471509 1803321 2943018 3606642 193849301 387698602 581547903 1163095806 1744643709 2520040913 3489287418 5040081826 7560122739 15120245478 22680368217 45360736434