Search a number
-
+
2164132201650 = 2352532633792731
BaseRepresentation
bin11111011111100000010…
…101001100010010110010
321122220000002112120222120
4133133200111030102302
5240424120320423100
64334104423415110
7312232133125266
oct37374025142262
97586002476876
102164132201650
11764892233231
122ab50b5b4496
131290cc92c313
1476a5d0cc0a6
153b4626060a0
hex1f7e054c4b2

2164132201650 has 192 divisors, whose sum is σ = 5505603333120. Its totient is φ = 562366022400.

The previous prime is 2164132201639. The next prime is 2164132201691. The reversal of 2164132201650 is 561022314612.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 792430785 + ... + 792433515.

It is an arithmetic number, because the mean of its divisors is an integer number (28675017360).

Almost surely, 22164132201650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2164132201650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752801666560).

2164132201650 is an abundant number, since it is smaller than the sum of its proper divisors (3341471131470).

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

2164132201650 is a wasteful number, since it uses less digits than its factorization.

2164132201650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3441 (or 3436 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 2164132201650 in words is "two trillion, one hundred sixty-four billion, one hundred thirty-two million, two hundred one thousand, six hundred fifty".