Search a number
-
+
109884826368 = 283315897689
BaseRepresentation
bin110011001010110100…
…1010110001100000000
3101111122001200112212000
41212111221112030000
53300021003420433
6122251433104000
710640022420162
oct1462551261400
9344561615760
10109884826368
1142669135499
1219368258000
13a4926a2a25
145465ba2932
152cd1e47113
hex1995a56300

109884826368 has 72 divisors (see below), whose sum is σ = 324948783600. Its totient is φ = 36628273152.

The previous prime is 109884826367. The next prime is 109884826379. The reversal of 109884826368 is 863628488901.

109884826368 is a `hidden beast` number, since 1 + 0 + 98 + 8 + 482 + 6 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (109884826367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7941933 + ... + 7955756.

It is an arithmetic number, because the mean of its divisors is an integer number (4513177550).

Almost surely, 2109884826368 is an apocalyptic number.

109884826368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

109884826368 is an abundant number, since it is smaller than the sum of its proper divisors (215063957232).

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

109884826368 is an equidigital number, since it uses as much as digits as its factorization.

109884826368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15897714 (or 15897694 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 109884826368 in words is "one hundred nine billion, eight hundred eighty-four million, eight hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 15897689 31795378 47693067 63590756 95386134 127181512 143079201 190772268 254363024 286158402 381544536 429237603 508726048 572316804 763089072 858475206 1017452096 1144633608 1526178144 1716950412 2034904192 2289267216 3052356288 3433900824 4069808384 4578534432 6104712576 6867801648 9157068864 12209425152 13735603296 18314137728 27471206592 36628275456 54942413184 109884826368