Search a number
-
+
2199873445632 = 28321953948169
BaseRepresentation
bin100000000000110010101…
…011001101111100000000
321210022020221222220111200
4200000302223031330000
5242020320100230012
64402335150341200
7314635625521632
oct40006253157400
97708227886450
102199873445632
11778a632338a5
122b64251ba800
1312c5a75a31b5
147868dc2aa52
153c3552a43dc
hex20032acdf00

2199873445632 has 216 divisors, whose sum is σ = 6802588774800. Its totient is φ = 681588670464.

The previous prime is 2199873445603. The next prime is 2199873445663. The reversal of 2199873445632 is 2365443789912.

2199873445632 is a `hidden beast` number, since 2 + 1 + 9 + 98 + 73 + 445 + 6 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2199873445632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1846044 + ... + 2794212.

It is an arithmetic number, because the mean of its divisors is an integer number (31493466550).

Almost surely, 22199873445632 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 2199873445632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401294387400).

2199873445632 is an abundant number, since it is smaller than the sum of its proper divisors (4602715329168).

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

2199873445632 is a wasteful number, since it uses less digits than its factorization.

2199873445632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948263 (or 948246 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 2199873445632 in words is "two trillion, one hundred ninety-nine billion, eight hundred seventy-three million, four hundred forty-five thousand, six hundred thirty-two".