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199294713696 = 253132311815879
BaseRepresentation
bin1011100110011011100…
…0111111111101100000
3201001102012011102120110
42321212320333331200
511231123421314241
6231315453211320
720253465054501
oct2714670777540
9631365142513
10199294713696
117757a741161
123275b490b40
1315a4117b8c0
14990856cba8
1552b65aa816
hex2e66e3ff60

199294713696 has 192 divisors, whose sum is σ = 588483947520. Its totient is φ = 58595665920.

The previous prime is 199294713671. The next prime is 199294713763. The reversal of 199294713696 is 696317492991.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33896485 + ... + 33902363.

It is an arithmetic number, because the mean of its divisors is an integer number (3065020560).

Almost surely, 2199294713696 is an apocalyptic number.

199294713696 is a gapful number since it is divisible by the number (16) 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 199294713696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294241973760).

199294713696 is an abundant number, since it is smaller than the sum of its proper divisors (389189233824).

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

199294713696 is a wasteful number, since it uses less digits than its factorization.

199294713696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7109 (or 7101 counting only the distinct ones).

The product of its digits is 39680928, while the sum is 66.

The spelling of 199294713696 in words is "one hundred ninety-nine billion, two hundred ninety-four million, seven hundred thirteen thousand, six hundred ninety-six".