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13837143404 = 22717294212381
BaseRepresentation
bin11001110001100001…
…00000110101101100
31022201100000201022202
430320300200311230
5211314302042104
610205014001032
7666616530650
oct147060406554
938640021282
1013837143404
115960785707
122822046178
1313c695b126
14953a02a60
1555ebb451e
hex338c20d6c

13837143404 has 96 divisors (see below), whose sum is σ = 30397368960. Its totient is φ = 5373849600.

The previous prime is 13837143401. The next prime is 13837143427. The reversal of 13837143404 is 40434173831.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13837143401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5810294 + ... + 5812674.

It is an arithmetic number, because the mean of its divisors is an integer number (316639260).

Almost surely, 213837143404 is an apocalyptic number.

13837143404 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 13837143404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15198684480).

13837143404 is an abundant number, since it is smaller than the sum of its proper divisors (16560225556).

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

13837143404 is a wasteful number, since it uses less digits than its factorization.

13837143404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 13837143404 in words is "thirteen billion, eight hundred thirty-seven million, one hundred forty-three thousand, four hundred four".

Divisors: 1 2 4 7 14 17 28 29 34 58 68 116 119 203 238 406 421 476 493 812 842 986 1684 1972 2381 2947 3451 4762 5894 6902 7157 9524 11788 12209 13804 14314 16667 24418 28628 33334 40477 48836 50099 66668 69049 80954 85463 100198 138098 161908 170926 200396 207553 276196 283339 341852 415106 483343 566678 830212 966686 1002401 1133356 1173833 1452871 1933372 2004802 2347666 2905742 4009604 4695332 5811484 7016807 8216831 14033614 16433662 17040817 28067228 29069629 32867324 34081634 58139258 68163268 116278516 119285719 203487403 238571438 406974806 477142876 494183693 813949612 988367386 1976734772 3459285851 6918571702 13837143404