Search a number
-
+
4329068544 = 2113379991
BaseRepresentation
bin1000000100000100…
…00101100000000000
3102011200220110122000
410002002011200000
532331220143134
61553322544000
7212164322043
oct40202054000
912150813560
104329068544
1119217122a9
12a09968000
1353cb59528
142d0d32c5a
151a50c6e99
hex102085800

4329068544 has 192 divisors, whose sum is σ = 12999168000. Its totient is φ = 1423319040.

The previous prime is 4329068543. The next prime is 4329068573. The reversal of 4329068544 is 4458609234.

4329068544 is a `hidden beast` number, since 43 + 2 + 9 + 0 + 68 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 4329068544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4329068543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4367889 + ... + 4368879.

It is an arithmetic number, because the mean of its divisors is an integer number (67704000).

Almost surely, 24329068544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4329068544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499584000).

4329068544 is an abundant number, since it is smaller than the sum of its proper divisors (8670099456).

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

4329068544 is an equidigital number, since it uses as much as digits as its factorization.

4329068544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4329068544 is about 65795.6574858858. The cubic root of 4329068544 is about 1629.7893945469.

The spelling of 4329068544 in words is "four billion, three hundred twenty-nine million, sixty-eight thousand, five hundred forty-four".