Search a number
-
+
779731231968 = 253213226360913
BaseRepresentation
bin10110101100010111001…
…10100110010011100000
32202112121210212122022100
423112023212212103200
5100233342143410333
61354111550210400
7110222316054603
oct13261346462340
92675553778270
10779731231968
11280755a53337
1210714a4b3a00
13586b39ba900
1429a4c4ba33a
1515438b86213
hexb58b9a64e0

779731231968 has 216 divisors, whose sum is σ = 2410216400592. Its totient is φ = 239001145344.

The previous prime is 779731231963. The next prime is 779731232009. The reversal of 779731231968 is 869132137977.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (779731231963) 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 35 ways as a sum of consecutive naturals, for example, 12770280 + ... + 12831192.

It is an arithmetic number, because the mean of its divisors is an integer number (11158409262).

Almost surely, 2779731231968 is an apocalyptic number.

779731231968 is a gapful number since it is divisible by the number (78) 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 779731231968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205108200296).

779731231968 is an abundant number, since it is smaller than the sum of its proper divisors (1630485168624).

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

779731231968 is a wasteful number, since it uses less digits than its factorization.

779731231968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61218 (or 61194 counting only the distinct ones).

The product of its digits is 24004512, while the sum is 63.

The spelling of 779731231968 in words is "seven hundred seventy-nine billion, seven hundred thirty-one million, two hundred thirty-one thousand, nine hundred sixty-eight".