Search a number
-
+
799390134400 = 2752111323151503
BaseRepresentation
bin10111010000111110101…
…11010111000010000000
32211102100212120100122211
423220133113113002000
5101044122333300100
61411122412511504
7111516430013134
oct13503727270200
92742325510584
10799390134400
11289023988740
1210ab1617b594
135a4c7808460
142a9953713c4
1515bd99c61ba
hexba1f5d7080

799390134400 has 768 divisors, whose sum is σ = 2441723719680. Its totient is φ = 254453760000.

The previous prime is 799390134371. The next prime is 799390134409. The reversal of 799390134400 is 4431093997.

It is not an unprimeable number, because it can be changed into a prime (799390134409) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1589244549 + ... + 1589245051.

It is an arithmetic number, because the mean of its divisors is an integer number (3179327760).

Almost surely, 2799390134400 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 799390134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220861859840).

799390134400 is an abundant number, since it is smaller than the sum of its proper divisors (1642333585280).

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

799390134400 is a wasteful number, since it uses less digits than its factorization.

799390134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 49.

The spelling of 799390134400 in words is "seven hundred ninety-nine billion, three hundred ninety million, one hundred thirty-four thousand, four hundred".