Search a number
-
+
796285327968 = 25331323137149151
BaseRepresentation
bin10111001011001100100…
…11011101101001100000
32211010100111022211221000
423211212103131221200
5101021243020443333
61405450342032000
7111346456416264
oct13454623355140
92733314284830
10796285327968
11287780343709
1210a3aa418600
135a1214b97a0
142a77cc860a4
1515aa712d713
hexb9664dda60

796285327968 has 768 divisors, whose sum is σ = 2664119808000. Its totient is φ = 229555814400.

The previous prime is 796285327961. The next prime is 796285328009. The reversal of 796285327968 is 869723582697.

796285327968 is a `hidden beast` number, since 7 + 9 + 6 + 28 + 532 + 7 + 9 + 68 = 666.

796285327968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 796285327896 and 796285327905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (796285327961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5273412693 + ... + 5273412843.

It is an arithmetic number, because the mean of its divisors is an integer number (3468906000).

Almost surely, 2796285327968 is an apocalyptic number.

796285327968 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 796285327968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332059904000).

796285327968 is an abundant number, since it is smaller than the sum of its proper divisors (1867834480032).

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

796285327968 is a wasteful number, since it uses less digits than its factorization.

796285327968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 478 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 796285327968 in words is "seven hundred ninety-six billion, two hundred eighty-five million, three hundred twenty-seven thousand, nine hundred sixty-eight".