Search a number
-
+
781426704384 = 214341075503
BaseRepresentation
bin10110101111100001010…
…10010100000000000000
32202200222222012120020000
423113300222110000000
5100300330214020014
61354552114120000
7110312324252064
oct13276052240000
92680888176200
10781426704384
11281446003907
12107542280000
13588c4040421
1429b6d743aa4
15154d7943509
hexb5f0a94000

781426704384 has 300 divisors, whose sum is σ = 2356808154624. Its totient is φ = 257994326016.

The previous prime is 781426704379. The next prime is 781426704389. The reversal of 781426704384 is 483407624187.

781426704384 is a `hidden beast` number, since 7 + 8 + 142 + 67 + 0 + 438 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (781426704379) and next prime (781426704389).

It is a super-2 number, since 2×7814267043842 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 781426704384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (781426704389) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 141997377 + ... + 142002879.

Almost surely, 2781426704384 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 781426704384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178404077312).

781426704384 is an abundant number, since it is smaller than the sum of its proper divisors (1575381450240).

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

781426704384 is an equidigital number, since it uses as much as digits as its factorization.

781426704384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5650 (or 5615 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 781426704384 in words is "seven hundred eighty-one billion, four hundred twenty-six million, seven hundred four thousand, three hundred eighty-four".