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109974799872 = 293374153523
BaseRepresentation
bin110011001101100000…
…0100100011000000000
3101111212022222200022000
41212123000210120000
53300212022043442
6122304405344000
710642164242460
oct1463300443000
9344768880260
10109974799872
11427049a8963
1219392408000
13a4a82158a2
145473b03ba0
152cd9cbad4c
hex199b024600

109974799872 has 640 divisors, whose sum is σ = 389045099520. Its totient is φ = 30019092480.

The previous prime is 109974799843. The next prime is 109974799877. The reversal of 109974799872 is 278997479901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 109974799872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109974799877) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210276603 + ... + 210277125.

It is an arithmetic number, because the mean of its divisors is an integer number (607882968).

Almost surely, 2109974799872 is an apocalyptic number.

109974799872 is a gapful number since it is divisible by the number (12) 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 109974799872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194522549760).

109974799872 is an abundant number, since it is smaller than the sum of its proper divisors (279070299648).

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

109974799872 is an equidigital number, since it uses as much as digits as its factorization.

109974799872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 144027072, while the sum is 72.

The spelling of 109974799872 in words is "one hundred nine billion, nine hundred seventy-four million, seven hundred ninety-nine thousand, eight hundred seventy-two".