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109478977920 = 2734513162451
BaseRepresentation
bin110010111110101110…
…1001010000110000000
3101110120210000022110000
41211331131022012000
53243203104243140
6122143254240000
710623663646434
oct1457535120600
9343523008400
10109478977920
1142480035554
1219274356000
13a429594410
145427d189c4
152cab4caa30
hex197d74a180

109478977920 has 320 divisors, whose sum is σ = 421046342640. Its totient is φ = 26948505600.

The previous prime is 109478977919. The next prime is 109478977939. The reversal of 109478977920 is 29779874901.

109478977920 is a `hidden beast` number, since 1 + 0 + 9 + 478 + 9 + 77 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 592695 + ... + 755145.

Almost surely, 2109478977920 is an apocalyptic number.

109478977920 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 109478977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210523171320).

109478977920 is an abundant number, since it is smaller than the sum of its proper divisors (311567364720).

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

109478977920 is a wasteful number, since it uses less digits than its factorization.

109478977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162495 (or 162474 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 63.

The spelling of 109478977920 in words is "one hundred nine billion, four hundred seventy-eight million, nine hundred seventy-seven thousand, nine hundred twenty".