Search a number
-
+
19613024100 = 22345217142433
BaseRepresentation
bin10010010001000001…
…101111111101100100
31212121212100212010000
4102101001233331210
5310131413232400
613002103101300
71263012645165
oct222101577544
955555325100
1019613024100
11835504a32a
123974441830
131b07476507
14d40b5176c
1579bccb600
hex49106ff64

19613024100 has 180 divisors, whose sum is σ = 67318011684. Its totient is φ = 4922449920.

The previous prime is 19613024089. The next prime is 19613024143. The reversal of 19613024100 is 142031691.

19613024100 is a `hidden beast` number, since 1 + 9 + 613 + 0 + 2 + 41 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 517653504 + 19095370596 = 22752^2 + 138186^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 66484 + ... + 208916.

Almost surely, 219613024100 is an apocalyptic number.

19613024100 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 19613024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33659005842).

19613024100 is an abundant number, since it is smaller than the sum of its proper divisors (47704987584).

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

19613024100 is a wasteful number, since it uses less digits than its factorization.

19613024100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142476 (or 142460 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 19613024100 its reverse (142031691), we get a palindrome (19755055791).

The spelling of 19613024100 in words is "nineteen billion, six hundred thirteen million, twenty-four thousand, one hundred".