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6796116976 = 241124381637
BaseRepresentation
bin1100101010001010…
…01000001111110000
3122112122002111212011
412111011020033300
5102404301220401
63042212212304
7330262020055
oct62505101760
918478074764
106796116976
11297825a300
12139800a094
13843cbc3bc
1448684702c
1529b994451
hex1951483f0

6796116976 has 60 divisors (see below), whose sum is σ = 14810112856. Its totient is φ = 3017266560.

The previous prime is 6796116961. The next prime is 6796116997.

6796116976 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 6796116976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42430 + ... + 124066.

Almost surely, 26796116976 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 6796116976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405056428).

6796116976 is an abundant number, since it is smaller than the sum of its proper divisors (8013995880).

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

6796116976 is a wasteful number, since it uses less digits than its factorization.

6796116976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81710 (or 81693 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 58.

The square root of 6796116976 is about 82438.5648589299. The cubic root of 6796116976 is about 1894.1757914641.

The spelling of 6796116976 in words is "six billion, seven hundred ninety-six million, one hundred sixteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 121 172 176 242 344 473 484 688 946 968 1892 1936 3784 5203 7568 10406 20812 41624 81637 83248 163274 326548 653096 898007 1306192 1796014 3510391 3592028 7020782 7184056 9878077 14041564 14368112 19756154 28083128 38614301 39512308 56166256 77228602 79024616 154457204 158049232 308914408 424757311 617828816 849514622 1699029244 3398058488 6796116976