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11699716608 = 293217233641
BaseRepresentation
bin10101110010101101…
…11000001000000000
31010012101002011222100
422321112320020000
5142430111412413
65212541310400
7562633643646
oct127126701000
933171064870
1011699716608
114a64204288
122326265400
131145b97a48
147cdbb3196
15487207a73
hex2b95b8200

11699716608 has 240 divisors, whose sum is σ = 35961879096. Its totient is φ = 3649044480.

The previous prime is 11699716607. The next prime is 11699716673. The reversal of 11699716608 is 80661799611.

It is a happy number.

11699716608 is a `hidden beast` number, since 1 + 16 + 9 + 9 + 7 + 16 + 608 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11365265664 + 334450944 = 106608^2 + 18288^2 .

It is a super-2 number, since 2×116997166082 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11699716601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18251968 + ... + 18252608.

Almost surely, 211699716608 is an apocalyptic number.

11699716608 is a gapful number since it is divisible by the number (18) 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 11699716608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17980939548).

11699716608 is an abundant number, since it is smaller than the sum of its proper divisors (24262162488).

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

11699716608 is a wasteful number, since it uses less digits than its factorization.

11699716608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 11699716608 in words is "eleven billion, six hundred ninety-nine million, seven hundred sixteen thousand, six hundred eight".