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45214332135 = 3571394636691
BaseRepresentation
bin101010000110111110…
…111111010011100111
311022201001202001110220
4222012332333103213
51220044332112020
632434324015423
73160311324210
oct520676772347
9138631661426
1045214332135
11181a2347a45
12891a231573
134357445aab
14228cd02407
151299679240
hexa86fbf4e7

45214332135 has 64 divisors (see below), whose sum is σ = 83464765440. Its totient is φ = 20473326720.

The previous prime is 45214332127. The next prime is 45214332151. The reversal of 45214332135 is 53123341254.

It is not a de Polignac number, because 45214332135 - 23 = 45214332127 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45214332096 and 45214332105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6754140 + ... + 6760830.

It is an arithmetic number, because the mean of its divisors is an integer number (1304136960).

Almost surely, 245214332135 is an apocalyptic number.

45214332135 is a deficient number, since it is larger than the sum of its proper divisors (38250433305).

45214332135 is a wasteful number, since it uses less digits than its factorization.

45214332135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7308.

The product of its digits is 43200, while the sum is 33.

Adding to 45214332135 its reverse (53123341254), we get a palindrome (98337673389).

The spelling of 45214332135 in words is "forty-five billion, two hundred fourteen million, three hundred thirty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 7 15 21 35 105 139 417 463 695 973 1389 2085 2315 2919 3241 4865 6691 6945 9723 14595 16205 20073 33455 46837 48615 64357 100365 140511 193071 234185 321785 450499 702555 930049 965355 1351497 2252495 2790147 3097933 4650245 6510343 6757485 9293799 13950735 15489665 19531029 21685531 32551715 46468995 65056593 97655145 108427655 325282965 430612687 1291838061 2153063435 3014288809 6459190305 9042866427 15071444045 45214332135