Search a number
-
+
19352986560 = 263551913099
BaseRepresentation
bin10010000001100001…
…110010001111000000
31211221202001120200000
4102001201302033000
5304113331032220
612520213400000
71253404446225
oct220141621700
954852046600
1019352986560
118231290276
123901339000
131a9562b14b
14d183c194c
15784063390
hex4818723c0

19352986560 has 336 divisors, whose sum is σ = 72670416000. Its totient is φ = 4888802304.

The previous prime is 19352986547. The next prime is 19352986589. The reversal of 19352986560 is 6568925391.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 19352986497 and 19352986506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1470891 + ... + 1483989.

It is an arithmetic number, because the mean of its divisors is an integer number (216281000).

Almost surely, 219352986560 is an apocalyptic number.

19352986560 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 19352986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36335208000).

19352986560 is an abundant number, since it is smaller than the sum of its proper divisors (53317429440).

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

19352986560 is a wasteful number, since it uses less digits than its factorization.

19352986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13150 (or 13128 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 19352986560 in words is "nineteen billion, three hundred fifty-two million, nine hundred eighty-six thousand, five hundred sixty".