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14474314904 = 2373179105541
BaseRepresentation
bin11010111101011110…
…01000010010011000
31101100201222101022012
431132233020102120
5214120411034104
610352134445052
71021454434550
oct153657102230
941321871265
1014474314904
116158412025
12297b503788
13149896cc9a
149b44a4160
1559aac5d6e
hex35ebc8498

14474314904 has 64 divisors (see below), whose sum is σ = 32422502400. Its totient is φ = 5927126400.

The previous prime is 14474314891. The next prime is 14474314919. The reversal of 14474314904 is 40941347441.

14474314904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 84374 + ... + 189914.

It is an arithmetic number, because the mean of its divisors is an integer number (506601600).

Almost surely, 214474314904 is an apocalyptic number.

14474314904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14474314904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16211251200).

14474314904 is an abundant number, since it is smaller than the sum of its proper divisors (17948187496).

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

14474314904 is a wasteful number, since it uses less digits than its factorization.

14474314904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105664 (or 105660 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 14474314904 in words is "fourteen billion, four hundred seventy-four million, three hundred fourteen thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 28 31 56 62 79 124 158 217 248 316 434 553 632 868 1106 1736 2212 2449 4424 4898 9796 17143 19592 34286 68572 105541 137144 211082 422164 738787 844328 1477574 2955148 3271771 5910296 6543542 8337739 13087084 16675478 22902397 26174168 33350956 45804794 58364173 66701912 91609588 116728346 183219176 233456692 258469909 466913384 516939818 1033879636 1809289363 2067759272 3618578726 7237157452 14474314904