Search a number
-
+
19489081248 = 25337213172083
BaseRepresentation
bin10010001001101000…
…111100011110100000
31212022020010220111000
4102021220330132200
5304403201044443
612541514352000
71256646312600
oct221150743640
955266126430
1019489081248
1182a109521a
12393aa2b600
131ab789ba50
14d2c4cac00
15790e978d3
hex489a3c7a0

19489081248 has 576 divisors, whose sum is σ = 75435131520. Its totient is φ = 4835303424.

The previous prime is 19489081229. The next prime is 19489081253. The reversal of 19489081248 is 84218098491.

It is a happy number.

It is a super-2 number, since 2×194890812482 (a number of 21 digits) contains 22 as substring.

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 = 19489081194 and 19489081203.

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, 9355215 + ... + 9357297.

It is an arithmetic number, because the mean of its divisors is an integer number (130963770).

Almost surely, 219489081248 is an apocalyptic number.

19489081248 is a gapful number since it is divisible by the number (18) 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 19489081248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37717565760).

19489081248 is an abundant number, since it is smaller than the sum of its proper divisors (55946050272).

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

19489081248 is a wasteful number, since it uses less digits than its factorization.

19489081248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 19489081248 in words is "nineteen billion, four hundred eighty-nine million, eighty-one thousand, two hundred forty-eight".