Search a number
-
+
19538948352 = 28373112613
BaseRepresentation
bin10010001100100111…
…001011000100000000
31212102200222102021210
4102030213023010000
5310003432321402
612550455250120
71261123215000
oct221447130400
955380872253
1019538948352
118317255100
123953679940
131ac500b801
14d34d8c000
1579554806c
hex48c9cb100

19538948352 has 432 divisors, whose sum is σ = 66766851200. Its totient is φ = 5066772480.

The previous prime is 19538948333. The next prime is 19538948353. The reversal of 19538948352 is 25384983591.

It is a happy number.

Its product of digits (9331200) is a multiple of the sum of its prime factors (675).

It is a junction number, because it is equal to n+sod(n) for n = 19538948292 and 19538948301.

It is not an unprimeable number, because it can be changed into a prime (19538948353) 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, 31873998 + ... + 31874610.

Almost surely, 219538948352 is an apocalyptic number.

19538948352 is a gapful number since it is divisible by the number (12) 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 19538948352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33383425600).

19538948352 is an abundant number, since it is smaller than the sum of its proper divisors (47227902848).

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

19538948352 is an equidigital number, since it uses as much as digits as its factorization.

19538948352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 636 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 57.

The spelling of 19538948352 in words is "nineteen billion, five hundred thirty-eight million, nine hundred forty-eight thousand, three hundred fifty-two".