Search a number
-
+
14883263928 = 23321331683751
BaseRepresentation
bin11011101110001110…
…01001010110111000
31102102020111010220100
431313013021112320
5220440103421203
610500503555400
71034551441011
oct156707112670
942366433810
1014883263928
11634823a525
122a7445bb60
1315325c5960
14a12918008
155c1955ea3
hex3771c95b8

14883263928 has 192 divisors, whose sum is σ = 44935188480. Its totient is φ = 4419360000.

The previous prime is 14883263881. The next prime is 14883263933. The reversal of 14883263928 is 82936238841.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19817553 + ... + 19818303.

It is an arithmetic number, because the mean of its divisors is an integer number (234037440).

Almost surely, 214883263928 is an apocalyptic number.

14883263928 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 14883263928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22467594240).

14883263928 is an abundant number, since it is smaller than the sum of its proper divisors (30051924552).

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

14883263928 is a wasteful number, since it uses less digits than its factorization.

14883263928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1483 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 14883263928 in words is "fourteen billion, eight hundred eighty-three million, two hundred sixty-three thousand, nine hundred twenty-eight".