Search a number
-
+
19831068000 = 25345397631
BaseRepresentation
bin10010011110000001…
…100001010101100000
31220012001122122010000
4102132001201111200
5311103223134000
613035452340000
71301301203532
oct223601412540
956161578100
1019831068000
1184571369a7
123a15474600
131b406aa783
14d61aad852
157b0eec000
hex49e061560

19831068000 has 480 divisors, whose sum is σ = 73653547968. Its totient is φ = 5225472000.

The previous prime is 19831067969. The next prime is 19831068017. The reversal of 19831068000 is 86013891.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 79 ways as a sum of consecutive naturals, for example, 31427685 + ... + 31428315.

Almost surely, 219831068000 is an apocalyptic number.

19831068000 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 19831068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36826773984).

19831068000 is an abundant number, since it is smaller than the sum of its proper divisors (53822479968).

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

19831068000 is an equidigital number, since it uses as much as digits as its factorization.

19831068000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 19831068000 in words is "nineteen billion, eight hundred thirty-one million, sixty-eight thousand".