Search a number
-
+
2011240037376 = 210323711874969
BaseRepresentation
bin11101010001000111001…
…111110111110000000000
321010021100202221220120200
4131101013033313300000
5230423004422144001
64135541222005200
7265210255150233
oct35210717676000
97107322856520
102011240037376
11705a64628279
12285960276800
1311787512386b
146d4b75a541a
15374b4b84086
hex1d4473f7c00

2011240037376 has 264 divisors, whose sum is σ = 5970595110480. Its totient is φ = 651613372416.

The previous prime is 2011240037321. The next prime is 2011240037399. The reversal of 2011240037376 is 6737300421102.

2011240037376 is a `hidden beast` number, since 2 + 0 + 11 + 240 + 0 + 37 + 376 = 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 2011240037376.

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, 404755020 + ... + 404759988.

It is an arithmetic number, because the mean of its divisors is an integer number (22615890570).

Almost surely, 22011240037376 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 2011240037376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2985297555240).

2011240037376 is an abundant number, since it is smaller than the sum of its proper divisors (3959355073104).

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

2011240037376 is a wasteful number, since it uses less digits than its factorization.

2011240037376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6219 (or 6198 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

Adding to 2011240037376 its reverse (6737300421102), we get a palindrome (8748540458478).

The spelling of 2011240037376 in words is "two trillion, eleven billion, two hundred forty million, thirty-seven thousand, three hundred seventy-six".