Search a number
-
+
2010241740276 = 223371113113191399
BaseRepresentation
bin11101010000001011101…
…111101010110111110100
321010011210012111011102000
4131100023233222313310
5230413433341142101
64135254201015300
7265143443601120
oct35201357526764
97104705434360
102010241740276
117055a2067950
12285721a84530
13117746361813
146d420b7c580
15374571dc486
hex1d40bbeadf4

2010241740276 has 384 divisors, whose sum is σ = 6556999680000. Its totient is φ = 517391971200.

The previous prime is 2010241740251. The next prime is 2010241740313. The reversal of 2010241740276 is 6720471420102.

2010241740276 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 241 + 7 + 402 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2010241740276.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1436912625 + ... + 1436914023.

It is an arithmetic number, because the mean of its divisors is an integer number (17075520000).

Almost surely, 22010241740276 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 2010241740276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278499840000).

2010241740276 is an abundant number, since it is smaller than the sum of its proper divisors (4546757939724).

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

2010241740276 is a wasteful number, since it uses less digits than its factorization.

2010241740276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 2010241740276 in words is "two trillion, ten billion, two hundred forty-one million, seven hundred forty thousand, two hundred seventy-six".