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45219999114 = 2342359920261
BaseRepresentation
bin101010000111010100…
…100110110110001010
311022201110101222010000
4222013110212312022
51220102304432424
632435045303430
73160410436053
oct520724466612
9138643358100
1045219999114
11181a55686a4
128920104b76
13435867b334
14228d97972a
151299de83c9
hexa87526d8a

45219999114 has 80 divisors (see below), whose sum is σ = 105913526400. Its totient is φ = 14393190240.

The previous prime is 45219999113. The next prime is 45219999197. The reversal of 45219999114 is 41199991254.

45219999114 is a `hidden beast` number, since 452 + 1 + 9 + 99 + 91 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (45219999113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2221744 + ... + 2242004.

It is an arithmetic number, because the mean of its divisors is an integer number (1323919080).

Almost surely, 245219999114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45219999114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52956763200).

45219999114 is an abundant number, since it is smaller than the sum of its proper divisors (60693527286).

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

45219999114 is a wasteful number, since it uses less digits than its factorization.

45219999114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20897 (or 20888 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 54.

The spelling of 45219999114 in words is "forty-five billion, two hundred nineteen million, nine hundred ninety-nine thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 599 621 1198 1242 1797 1863 3594 3726 5391 10782 13777 16173 20261 27554 32346 40522 41331 48519 60783 82662 97038 121566 123993 182349 247986 364698 371979 466003 547047 743958 932006 1094094 1115937 1398009 1641141 2231874 2796018 3282282 4194027 8388054 12136339 12582081 24272678 25164162 36409017 37746243 72818034 75492486 109227051 218454102 279135797 327681153 558271594 655362306 837407391 983043459 1674814782 1966086918 2512222173 5024444346 7536666519 15073333038 22609999557 45219999114