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108994176720 = 243451121317237
BaseRepresentation
bin110010110000010001…
…1110010011011010000
3101102022222202212020000
41211200203302123100
53241210002123340
6122023215250000
710605656134032
oct1454043623320
9342288685200
10108994176720
114225140a200
1219159b19900
13a3800012c0
1453bd79bc52
152c7db65d30
hex19608f26d0

108994176720 has 1800 divisors, whose sum is σ = 488877402552. Its totient is φ = 22335160320.

The previous prime is 108994176713. The next prime is 108994176721. The reversal of 108994176720 is 27671499801.

It can be written as a sum of positive squares in 12 ways, for example, as 2002383504 + 106991793216 = 44748^2 + 327096^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108994176721) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2945788542 + ... + 2945788578.

Almost surely, 2108994176720 is an apocalyptic number.

108994176720 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 108994176720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244438701276).

108994176720 is an abundant number, since it is smaller than the sum of its proper divisors (379883225832).

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

108994176720 is a wasteful number, since it uses less digits than its factorization.

108994176720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 108994176720 in words is "one hundred eight billion, nine hundred ninety-four million, one hundred seventy-six thousand, seven hundred twenty".