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109628284680 = 2333519233159127
BaseRepresentation
bin110011000011001011…
…0101101111100001000
3101110222011221212211000
41212012112231330020
53244004320102210
6122210150335000
710630456021215
oct1460626557410
9343864855730
10109628284680
1142547343972
12192b635a460
13a4514ac905
14543daa2b0c
152cb966eac0
hex19865adf08

109628284680 has 1024 divisors, whose sum is σ = 424673280000. Its totient is φ = 25003883520.

The previous prime is 109628284679. The next prime is 109628284721. The reversal of 109628284680 is 86482826901.

109628284680 is a `hidden beast` number, since 1 + 0 + 9 + 628 + 2 + 8 + 4 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 863214777 + ... + 863214903.

It is an arithmetic number, because the mean of its divisors is an integer number (414720000).

Almost surely, 2109628284680 is an apocalyptic number.

109628284680 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 109628284680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212336640000).

109628284680 is an abundant number, since it is smaller than the sum of its proper divisors (315044995320).

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

109628284680 is a wasteful number, since it uses less digits than its factorization.

109628284680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 109628284680 in words is "one hundred nine billion, six hundred twenty-eight million, two hundred eighty-four thousand, six hundred eighty".