Search a number
-
+
13348919808 = 29327421983
BaseRepresentation
bin11000110111010100…
…00101101000000000
31021110022100101110100
430123222011220000
5204314310413213
610044333402400
7651540642360
oct143352055000
937408311410
1013348919808
115730132034
122706639400
13134976a323
14908c349a0
15531dc5773
hex31ba85a00

13348919808 has 240 divisors, whose sum is σ = 44179065216. Its totient is φ = 3801047040.

The previous prime is 13348919777. The next prime is 13348919833. The reversal of 13348919808 is 80891984331.

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 23 ways as a sum of consecutive naturals, for example, 13579285 + ... + 13580267.

Almost surely, 213348919808 is an apocalyptic number.

13348919808 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 13348919808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22089532608).

13348919808 is an abundant number, since it is smaller than the sum of its proper divisors (30830145408).

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

13348919808 is an equidigital number, since it uses as much as digits as its factorization.

13348919808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

It can be divided in two parts, 13348 and 919808, that added together give a square (933156 = 9662).

The spelling of 13348919808 in words is "thirteen billion, three hundred forty-eight million, nine hundred nineteen thousand, eight hundred eight".