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108831917040 = 2435711231072393
BaseRepresentation
bin110010101011011100…
…0110100001111110000
3101101220200110012210020
41211112320310033300
53240341432321130
6121555141403440
710601646013530
oct1452670641760
9341820405706
10108831917040
11421788640a0
1219113709580
13a3554cc162
1453a60014c0
152c6e7b3e10
hex1956e343f0

108831917040 has 640 divisors, whose sum is σ = 443203633152. Its totient is φ = 21420072960.

The previous prime is 108831917039. The next prime is 108831917053. The reversal of 108831917040 is 40719138801.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 108831916983 and 108831917001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45478084 + ... + 45480476.

Almost surely, 2108831917040 is an apocalyptic number.

108831917040 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 108831917040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221601816576).

108831917040 is an abundant number, since it is smaller than the sum of its proper divisors (334371716112).

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

108831917040 is a wasteful number, since it uses less digits than its factorization.

108831917040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The spelling of 108831917040 in words is "one hundred eight billion, eight hundred thirty-one million, nine hundred seventeen thousand, forty".