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45166240464 = 2436714519679
BaseRepresentation
bin101010000100000111…
…100010001011010000
311022120201020202002220
4222010013202023100
51220000024143324
632425445141040
73156155465232
oct520407421320
9138521222086
1045166240464
111817818aa64
1289060ba780
13434a4a8197
142286784252
151295329b79
hexa841e22d0

45166240464 has 80 divisors (see below), whose sum is σ = 118514795520. Its totient is φ = 14818953600.

The previous prime is 45166240463. The next prime is 45166240481. The reversal of 45166240464 is 46404266154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45166240463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4661577 + ... + 4671255.

It is an arithmetic number, because the mean of its divisors is an integer number (1481434944).

Almost surely, 245166240464 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 45166240464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59257397760).

45166240464 is an abundant number, since it is smaller than the sum of its proper divisors (73348555056).

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

45166240464 is a wasteful number, since it uses less digits than its factorization.

45166240464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11208 (or 11202 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 45166240464 in words is "forty-five billion, one hundred sixty-six million, two hundred forty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1451 1608 2902 3216 4353 5804 8706 9679 11608 17412 19358 23216 29037 34824 38716 58074 69648 77432 97217 116148 154864 194434 232296 291651 388868 464592 583302 648493 777736 1166604 1296986 1555472 1945479 2333208 2593972 3890958 4666416 5187944 7781916 10375888 14044229 15563832 28088458 31127664 42132687 56176916 84265374 112353832 168530748 224707664 337061496 674122992 940963343 1881926686 2822890029 3763853372 5645780058 7527706744 11291560116 15055413488 22583120232 45166240464