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5063105418 = 237229797517
BaseRepresentation
bin1001011011100100…
…01101101110001010
3111001212010101220220
410231302031232022
540332123333133
62154223530510
7236316454200
oct45562155612
914055111826
105063105418
112168a9a048
12b93759a36
13628c55187
1436060b070
151e976e5b3
hex12dc8db8a

5063105418 has 96 divisors (see below), whose sum is σ = 12341548800. Its totient is φ = 1378855296.

The previous prime is 5063105417. The next prime is 5063105429. The reversal of 5063105418 is 8145013605.

It is not an unprimeable number, because it can be changed into a prime (5063105413) 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 47 ways as a sum of consecutive naturals, for example, 669796 + ... + 677312.

It is an arithmetic number, because the mean of its divisors is an integer number (128557800).

Almost surely, 25063105418 is an apocalyptic number.

5063105418 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5063105418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6170774400).

5063105418 is an abundant number, since it is smaller than the sum of its proper divisors (7278443382).

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

5063105418 is a wasteful number, since it uses less digits than its factorization.

5063105418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7644 (or 7637 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 5063105418 is about 71155.5016706368. The cubic root of 5063105418 is about 1717.1398085691.

The spelling of 5063105418 in words is "five billion, sixty-three million, one hundred five thousand, four hundred eighteen".

Divisors: 1 2 3 6 7 14 21 29 42 49 58 79 87 98 147 158 174 203 237 294 406 474 553 609 1106 1218 1421 1659 2291 2842 3318 3871 4263 4582 6873 7517 7742 8526 11613 13746 15034 16037 22551 23226 32074 45102 48111 52619 96222 105238 112259 157857 217993 224518 315714 336777 368333 435986 593843 653979 673554 736666 1104999 1187686 1307958 1525951 1781529 2209998 3051902 3563058 4156901 4577853 8313802 9155706 10681657 12470703 17221447 21363314 24941406 29098307 32044971 34442894 51664341 58196614 64089942 87294921 103328682 120550129 174589842 241100258 361650387 723300774 843850903 1687701806 2531552709 5063105418