Search a number
-
+
19644407040 = 283519237383
BaseRepresentation
bin10010010010111001…
…011101110100000000
31212201001102021102010
4102102321131310000
5310212432011130
613005143452520
71263543463506
oct222271356400
955631367363
1019644407040
118370834845
123982a57140
131b10b13abb
14d44da0676
1579e92a0b0
hex492e5dd00

19644407040 has 432 divisors, whose sum is σ = 68182345728. Its totient is φ = 4816060416.

The previous prime is 19644406997. The next prime is 19644407047. The reversal of 19644407040 is 4070444691.

It is a self number, because there is not a number n which added to its sum of digits gives 19644407040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19644407047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51290689 + ... + 51291071.

It is an arithmetic number, because the mean of its divisors is an integer number (157829504).

Almost surely, 219644407040 is an apocalyptic number.

19644407040 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 19644407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34091172864).

19644407040 is an abundant number, since it is smaller than the sum of its proper divisors (48537938688).

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

19644407040 is a wasteful number, since it uses less digits than its factorization.

19644407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 19644407040 in words is "nineteen billion, six hundred forty-four million, four hundred seven thousand, forty".