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6908668096 = 261129333493
BaseRepresentation
bin1100110111100100…
…11110100011000000
3122211110212200222011
412123302132203000
5103122104334341
63101312422304
7333126465331
oct63362364300
918743780864
106908668096
112a25843660
121409847994
138614089b5
14497784288
152a67c7b81
hex19bc9e8c0

6908668096 has 56 divisors (see below), whose sum is σ = 15007187664. Its totient is φ = 3129492480.

The previous prime is 6908668093. The next prime is 6908668099.

6908668096 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6908668093) and next prime (6908668099).

It is a self number, because there is not a number n which added to its sum of digits gives 6908668096.

It is not an unprimeable number, because it can be changed into a prime (6908668093) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189526 + ... + 223018.

It is an arithmetic number, because the mean of its divisors is an integer number (267985494).

Almost surely, 26908668096 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 6908668096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7503593832).

6908668096 is an abundant number, since it is smaller than the sum of its proper divisors (8098519568).

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

6908668096 is a wasteful number, since it uses less digits than its factorization.

6908668096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33809 (or 33799 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 58.

The square root of 6908668096 is about 83118.3980596354. The cubic root of 6908668096 is about 1904.5751328479.

The spelling of 6908668096 in words is "six billion, nine hundred eight million, six hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 293 352 586 704 1172 2344 3223 4688 6446 9376 12892 18752 25784 33493 51568 66986 103136 133972 206272 267944 368423 535888 736846 1071776 1473692 2143552 2947384 5894768 9813449 11789536 19626898 23579072 39253796 78507592 107947939 157015184 215895878 314030368 431791756 628060736 863583512 1727167024 3454334048 6908668096