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13804113348 = 22327911514217
BaseRepresentation
bin11001101101100101…
…00000110111000100
31022122000212121121100
430312302200313010
5211232323111343
610201434020100
7666036012264
oct146662406704
938560777540
1013804113348
115944075743
122812b77630
1313bcb64c0c
1494d4857a4
1555bd3c9d3
hex336ca0dc4

13804113348 has 72 divisors (see below), whose sum is σ = 35374510080. Its totient is φ = 4538102400.

The previous prime is 13804113329. The next prime is 13804113371. The reversal of 13804113348 is 84331140831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3271336 + ... + 3275552.

It is an arithmetic number, because the mean of its divisors is an integer number (491312640).

Almost surely, 213804113348 is an apocalyptic number.

13804113348 is a gapful number since it is divisible by the number (18) 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 13804113348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17687255040).

13804113348 is an abundant number, since it is smaller than the sum of its proper divisors (21570396732).

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

13804113348 is a wasteful number, since it uses less digits than its factorization.

13804113348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5457 (or 5452 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 13804113348 in words is "thirteen billion, eight hundred four million, one hundred thirteen thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1151 1422 2302 2844 3453 4217 4604 6906 8434 10359 12651 13812 16868 20718 25302 37953 41436 50604 75906 90929 151812 181858 272787 333143 363716 545574 666286 818361 999429 1091148 1332572 1636722 1998858 2998287 3273444 3997716 4853767 5996574 9707534 11993148 14561301 19415068 29122602 43683903 58245204 87367806 174735612 383447593 766895186 1150342779 1533790372 2300685558 3451028337 4601371116 6902056674 13804113348