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109958698080 = 253257112343117
BaseRepresentation
bin110011001101000001…
…1001001010001100000
3101111211012200121210100
41212122003021101200
53300143411314310
6122303032302400
710641610340460
oct1463203112140
9344735617710
10109958698080
11426a69003a0
1219388b41a00
13a4a4a988ba
145471911ba0
152cd8689ec0
hex199a0c9460

109958698080 has 576 divisors, whose sum is σ = 488175787008. Its totient is φ = 21854638080.

The previous prime is 109958698063. The next prime is 109958698111. The reversal of 109958698080 is 80896859901.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 109958697999 and 109958698017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2528682 + ... + 2571798.

It is an arithmetic number, because the mean of its divisors is an integer number (847527408).

Almost surely, 2109958698080 is an apocalyptic number.

109958698080 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 109958698080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244087893504).

109958698080 is an abundant number, since it is smaller than the sum of its proper divisors (378217088928).

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

109958698080 is a wasteful number, since it uses less digits than its factorization.

109958698080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43179 (or 43168 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 63.

The spelling of 109958698080 in words is "one hundred nine billion, nine hundred fifty-eight million, six hundred ninety-eight thousand, eighty".