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108923044738560 = 29351353178711519
BaseRepresentation
bin11000110001000010011111…
…011000111011011000000000
3112021122221102021020000201220
4120301002133120323120000
5103234043343423113220
61023354320030555040
731641300406033653
oct3061023730733000
9467587367200656
10108923044738560
1131785005156388
1210272023368a80
1348a152591a980
141cc7c9128d89a
15c8d511e5c540
hex63109f63b600

108923044738560 has 640 divisors, whose sum is σ = 382321449861120. Its totient is φ = 26288939728896.

The previous prime is 108923044738553. The next prime is 108923044738561. The reversal of 108923044738560 is 65837440329801.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 108923044738494 and 108923044738503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108923044738561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9455940481 + ... + 9455951999.

It is an arithmetic number, because the mean of its divisors is an integer number (597377265408).

It is a 1-persistent number, because it is pandigital, but 2⋅108923044738560 = 217846089477120 is not.

Almost surely, 2108923044738560 is an apocalyptic number.

108923044738560 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 108923044738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191160724930560).

108923044738560 is an abundant number, since it is smaller than the sum of its proper divisors (273398405122560).

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

108923044738560 is a wasteful number, since it uses less digits than its factorization.

108923044738560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13398 (or 13382 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 108923044738560 in words is "one hundred eight trillion, nine hundred twenty-three billion, forty-four million, seven hundred thirty-eight thousand, five hundred sixty".