Search a number
-
+
13813838856 = 23321129169937
BaseRepresentation
bin11001101110101111…
…00111010000001000
31022122201011201111100
430313113213100020
5211242320320411
610202422301400
7666214456446
oct146727472010
938581151440
1013813838856
115949608654
122816287860
1313c1b8b85c
14950897b96
1555cb0e456
hex3375e7408

13813838856 has 48 divisors (see below), whose sum is σ = 37445838300. Its totient is φ = 4600507392.

The previous prime is 13813838839. The next prime is 13813838873. The reversal of 13813838856 is 65883831831.

13813838856 is a `hidden beast` number, since 138 + 1 + 383 + 88 + 56 = 666.

13813838856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13813838839) and next prime (13813838873).

It can be written as a sum of positive squares in 2 ways, for example, as 12798396900 + 1015441956 = 113130^2 + 31866^2 .

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 11 ways as a sum of consecutive naturals, for example, 3681 + ... + 166256.

Almost surely, 213813838856 is an apocalyptic number.

It is an amenable number.

13813838856 is an abundant number, since it is smaller than the sum of its proper divisors (23631999444).

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

13813838856 is a wasteful number, since it uses less digits than its factorization.

13813838856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171078 (or 171071 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 13813838856 in words is "thirteen billion, eight hundred thirteen million, eight hundred thirty-eight thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1129 2258 3387 4516 6774 9032 10161 13548 20322 27096 40644 81288 169937 339874 509811 679748 1019622 1359496 1529433 2039244 3058866 4078488 6117732 12235464 191858873 383717746 575576619 767435492 1151153238 1534870984 1726729857 2302306476 3453459714 4604612952 6906919428 13813838856