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109070022880 = 255713194353173
BaseRepresentation
bin110010110010100010…
…1000111100011100000
3101102112021111020121001
41211211011013203200
53241333411213010
6122034525041344
710610566616620
oct1454505074340
9342467436531
10109070022880
1142290203585
121917b3b6254
13a392938aa0
1453c98a2880
152c85648c3a
hex19651478e0

109070022880 has 768 divisors, whose sum is σ = 350054369280. Its totient is φ = 31157747712.

The previous prime is 109070022877. The next prime is 109070022911. The reversal of 109070022880 is 88220070901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 630462474 + ... + 630462646.

It is an arithmetic number, because the mean of its divisors is an integer number (455799960).

Almost surely, 2109070022880 is an apocalyptic number.

109070022880 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 109070022880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175027184640).

109070022880 is an abundant number, since it is smaller than the sum of its proper divisors (240984346400).

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

109070022880 is a wasteful number, since it uses less digits than its factorization.

109070022880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The spelling of 109070022880 in words is "one hundred nine billion, seventy million, twenty-two thousand, eight hundred eighty".