Search a number
-
+
109781948183040 = 2932573591896077
BaseRepresentation
bin11000111101100010011010…
…000001100011001000000000
3112101201001101201120210002100
4120331202122001203020000
5103342131412213324130
61025253044124350400
732060325005614560
oct3075423201431000
9471631351523070
10109781948183040
1131a86298815801
12103905883a5400
1349345160ab5b3
141d176905c4da0
15ca5a3159bc60
hex63d89a063200

109781948183040 has 480 divisors, whose sum is σ = 435731466044160. Its totient is φ = 25023106547712.

The previous prime is 109781948182997. The next prime is 109781948183077. The reversal of 109781948183040 is 40381849187901.

109781948183040 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 81 + 9 + 481 + 8 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1097819481830402 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56951482 + ... + 58847558.

It is an arithmetic number, because the mean of its divisors is an integer number (907773887592).

Almost surely, 2109781948183040 is an apocalyptic number.

109781948183040 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 109781948183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217865733022080).

109781948183040 is an abundant number, since it is smaller than the sum of its proper divisors (325949517861120).

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

109781948183040 is a wasteful number, since it uses less digits than its factorization.

109781948183040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896472 (or 1896453 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 109781948183040 in words is "one hundred nine trillion, seven hundred eighty-one billion, nine hundred forty-eight million, one hundred eighty-three thousand, forty".