Search a number
-
+
19030646544 = 24371321931569
BaseRepresentation
bin10001101110010100…
…001001111100010000
31211010021112000021220
4101232110021330100
5302433321142134
612424220445040
71242411553350
oct215624117420
954107460256
1019030646544
118086338468
1238313a9780
131a4390ab00
14cc7674b60
15765ae0149
hex46e509f10

19030646544 has 480 divisors, whose sum is σ = 66224332800. Its totient is φ = 4593438720.

The previous prime is 19030646473. The next prime is 19030646581. The reversal of 19030646544 is 44564603091.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 19030646496 and 19030646505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33445492 + ... + 33446060.

It is an arithmetic number, because the mean of its divisors is an integer number (137967360).

Almost surely, 219030646544 is an apocalyptic number.

19030646544 is a gapful number since it is divisible by the number (14) 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 19030646544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33112166400).

19030646544 is an abundant number, since it is smaller than the sum of its proper divisors (47193686256).

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

19030646544 is a wasteful number, since it uses less digits than its factorization.

19030646544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 19030646544 in words is "nineteen billion, thirty million, six hundred forty-six thousand, five hundred forty-four".