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199008718296 = 23337367610651
BaseRepresentation
bin1011100101010111011…
…0000000110111011000
3201000200021000100122020
42321111312000313120
511230032212441141
6231231235254440
720243423123613
oct2712566006730
9630607010566
10199008718296
1177443262623
123269b74a420
13159c6b4535b
1498bc5a317a
15529b416266
hex2e55d80dd8

199008718296 has 64 divisors (see below), whose sum is σ = 512361454080. Its totient is φ = 64367395200.

The previous prime is 199008718267. The next prime is 199008718309. The reversal of 199008718296 is 692817800991.

199008718296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20571 + ... + 631221.

It is an arithmetic number, because the mean of its divisors is an integer number (8005647720).

Almost surely, 2199008718296 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 199008718296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256180727040).

199008718296 is an abundant number, since it is smaller than the sum of its proper divisors (313352735784).

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

199008718296 is a wasteful number, since it uses less digits than its factorization.

199008718296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611064 (or 611060 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 60.

The spelling of 199008718296 in words is "one hundred ninety-nine billion, eight million, seven hundred eighteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 367 444 734 888 1101 1468 2202 2936 4404 8808 13579 27158 40737 54316 81474 108632 162948 325896 610651 1221302 1831953 2442604 3663906 4885208 7327812 14655624 22594087 45188174 67782261 90376348 135564522 180752696 224108917 271129044 448217834 542258088 672326751 896435668 1344653502 1792871336 2689307004 5378614008 8292029929 16584059858 24876089787 33168119716 49752179574 66336239432 99504359148 199008718296