Search a number
-
+
16848082944 = 211347111319
BaseRepresentation
bin11111011000011100…
…10101100000000000
31121111011122021220000
433230032111200000
5234001102123234
611423452520000
71134340225230
oct175416254000
947434567800
1016848082944
1171663380a0
123322480000
1317866a2a64
14b5b855cc0
156891b9899
hex3ec395800

16848082944 has 480 divisors, whose sum is σ = 62789126400. Its totient is φ = 4372807680.

The previous prime is 16848082939. The next prime is 16848082987. The reversal of 16848082944 is 44928084861.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12772717 + ... + 12774035.

It is an arithmetic number, because the mean of its divisors is an integer number (130810680).

Almost surely, 216848082944 is an apocalyptic number.

16848082944 is a gapful number since it is divisible by the number (14) 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 16848082944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31394563200).

16848082944 is an abundant number, since it is smaller than the sum of its proper divisors (45941043456).

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

16848082944 is a wasteful number, since it uses less digits than its factorization.

16848082944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 16848082944 in words is "sixteen billion, eight hundred forty-eight million, eighty-two thousand, nine hundred forty-four".