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1329166944 = 25327297971
BaseRepresentation
bin100111100111001…
…0111101001100000
310102122001200021100
41033032113221200
510210231320234
6335520354400
744636506200
oct11716275140
93378050240
101329166944
11622309886
12311175a00
131824aaa21
14c8754400
157ba52399
hex4f397a60

1329166944 has 216 divisors, whose sum is σ = 4446835848. Its totient is φ = 375459840.

The previous prime is 1329166919. The next prime is 1329166967. The reversal of 1329166944 is 4496619231.

1329166944 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 1329166944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1368379 + ... + 1369349.

It is an arithmetic number, because the mean of its divisors is an integer number (20587203).

Almost surely, 21329166944 is an apocalyptic number.

1329166944 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 1329166944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223417924).

1329166944 is an abundant number, since it is smaller than the sum of its proper divisors (3117668904).

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

1329166944 is a wasteful number, since it uses less digits than its factorization.

1329166944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1080 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 1329166944 is about 36457.7418938694. The cubic root of 1329166944 is about 1099.4947939007.

The spelling of 1329166944 in words is "one billion, three hundred twenty-nine million, one hundred sixty-six thousand, nine hundred forty-four".