Search a number
-
+
19134286080 = 2835713173221
BaseRepresentation
bin10001110100011111…
…100000100100000000
31211101111112110000020
4101310133200210000
5303141334123310
612442402053440
71245110514420
oct216437404400
954344473006
1019134286080
118129895378
12386004a280
131a5c227090
14cd7332480
1576ec63170
hex4747e0900

19134286080 has 576 divisors, whose sum is σ = 79661449728. Its totient is φ = 3798466560.

The previous prime is 19134286069. The next prime is 19134286103. The reversal of 19134286080 is 8068243191.

It is a super-2 number, since 2×191342860802 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5938870 + ... + 5942090.

It is an arithmetic number, because the mean of its divisors is an integer number (138301128).

Almost surely, 219134286080 is an apocalyptic number.

19134286080 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 19134286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39830724864).

19134286080 is an abundant number, since it is smaller than the sum of its proper divisors (60527163648).

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

19134286080 is a wasteful number, since it uses less digits than its factorization.

19134286080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 19134286080 in words is "nineteen billion, one hundred thirty-four million, two hundred eighty-six thousand, eighty".