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45118833714 = 232171392274673
BaseRepresentation
bin101010000001010010…
…101100010000110010
311022110102001020021100
4222001102230100302
51214400410134324
632421033105230
73155041521153
oct520122542062
9138412036240
1045118833714
1118153450629
1288b2258216
13434071a256
14228036392a
1512910b34c9
hexa814ac432

45118833714 has 96 divisors (see below), whose sum is σ = 104734244160. Its totient is φ = 13988192256.

The previous prime is 45118833707. The next prime is 45118833733. The reversal of 45118833714 is 41733881154.

45118833714 is a `hidden beast` number, since 451 + 188 + 3 + 3 + 7 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45118833714.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9652882 + ... + 9657554.

It is an arithmetic number, because the mean of its divisors is an integer number (1090981710).

Almost surely, 245118833714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45118833714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52367122080).

45118833714 is an abundant number, since it is smaller than the sum of its proper divisors (59615410446).

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

45118833714 is a wasteful number, since it uses less digits than its factorization.

45118833714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5064 (or 5061 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 45118833714 in words is "forty-five billion, one hundred eighteen million, eight hundred thirty-three thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 139 153 227 278 306 417 454 681 834 1251 1362 2043 2363 2502 3859 4086 4673 4726 7089 7718 9346 11577 14019 14178 21267 23154 28038 31553 34731 42057 42534 63106 69462 79441 84114 94659 158882 189318 238323 283977 476646 536401 567954 649547 714969 1060771 1072802 1299094 1429938 1609203 1948641 2121542 3182313 3218406 3897282 4827609 5845923 6364626 9546939 9655218 11042299 11691846 18033107 19093878 22084598 33126897 36066214 54099321 66253794 99380691 108198642 147447169 162297963 198761382 294894338 324595926 442341507 884683014 1327024521 2506601873 2654049042 5013203746 7519805619 15039611238 22559416857 45118833714