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109504535040 = 293453591471
BaseRepresentation
bin110010111111011111…
…0101001101000000000
3101110122120002202020000
41211332332221220000
53243231130110130
6122150010120000
710624424122125
oct1457676515000
9343576082200
10109504535040
1142493500a3a
1219280a20000
13a431972084
14542b48c74c
152cad878260
hex197efa9a00

109504535040 has 400 divisors, whose sum is σ = 393570524160. Its totient is φ = 29100072960.

The previous prime is 109504535009. The next prime is 109504535047. The reversal of 109504535040 is 40535405901.

109504535040 is a `hidden beast` number, since 10 + 9 + 504 + 53 + 50 + 40 = 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 = 109504534986 and 109504535004.

It is not an unprimeable number, because it can be changed into a prime (109504535047) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 74441505 + ... + 74442975.

Almost surely, 2109504535040 is an apocalyptic number.

109504535040 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 109504535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196785262080).

109504535040 is an abundant number, since it is smaller than the sum of its proper divisors (284065989120).

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

109504535040 is an equidigital number, since it uses as much as digits as its factorization.

109504535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 109504535040 in words is "one hundred nine billion, five hundred four million, five hundred thirty-five thousand, forty".