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109426818560 = 2951719592243
BaseRepresentation
bin110010111101001011…
…0001011111000000000
3101110110010212100020212
41211322112023320000
53243101231143220
6122134152253252
710622461416353
oct1457226137000
9343403770225
10109426818560
114245364a444
121925a9a1228
13a41b8311a7
14542101c29a
152ca6b260c5
hex197a58be00

109426818560 has 320 divisors, whose sum is σ = 297511315200. Its totient is φ = 38349176832.

The previous prime is 109426818517. The next prime is 109426818569. The reversal of 109426818560 is 65818624901.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 109426818499 and 109426818508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109426818569) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 48784799 + ... + 48787041.

It is an arithmetic number, because the mean of its divisors is an integer number (929722860).

Almost surely, 2109426818560 is an apocalyptic number.

109426818560 is a gapful number since it is divisible by the number (10) 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 109426818560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148755657600).

109426818560 is an abundant number, since it is smaller than the sum of its proper divisors (188084496640).

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

109426818560 is a wasteful number, since it uses less digits than its factorization.

109426818560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 50.

The spelling of 109426818560 in words is "one hundred nine billion, four hundred twenty-six million, eight hundred eighteen thousand, five hundred sixty".