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108763223040 = 2103551943107
BaseRepresentation
bin110010101001011001…
…0110001010000000000
3101101201220012012100000
41211102302301100000
53240221341114130
6121544245200000
710600153066503
oct1452262612000
9341656165300
10108763223040
114214300529a
12190b4700000
13a3441c9c14
14539ac3d13a
152c68745260
hex1952cb1400

108763223040 has 1056 divisors, whose sum is σ = 424890385920. Its totient is φ = 26587201536.

The previous prime is 108763223039. The next prime is 108763223141. The reversal of 108763223040 is 40322367801.

It is a happy number.

108763223040 is a `hidden beast` number, since 10 + 8 + 7 + 632 + 2 + 3 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 108763222986 and 108763223004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1016478667 + ... + 1016478773.

It is an arithmetic number, because the mean of its divisors is an integer number (402358320).

Almost surely, 2108763223040 is an apocalyptic number.

108763223040 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 108763223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212445192960).

108763223040 is an abundant number, since it is smaller than the sum of its proper divisors (316127162880).

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

108763223040 is a wasteful number, since it uses less digits than its factorization.

108763223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 108763223040 in words is "one hundred eight billion, seven hundred sixty-three million, two hundred twenty-three thousand, forty".