Search a number
-
+
2066210788824 = 2333713239075039
BaseRepresentation
bin11110000100010011110…
…000101001010111011000
321022112020210010102022000
4132010103300221113120
5232323044430220244
64221112032001000
7302164425631560
oct36042360512730
97275223112260
102066210788824
11727303140476
12294541990160
1311cac5951220
1472010141da0
1538b30b04169
hex1e113c295d8

2066210788824 has 512 divisors, whose sum is σ = 7380688896000. Its totient is φ = 520563884544.

The previous prime is 2066210788823. The next prime is 2066210788843. The reversal of 2066210788824 is 4288870126602.

2066210788824 is a `hidden beast` number, since 2 + 0 + 6 + 621 + 0 + 7 + 8 + 8 + 8 + 2 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2066210788823) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 410041297 + ... + 410046335.

It is an arithmetic number, because the mean of its divisors is an integer number (14415408000).

Almost surely, 22066210788824 is an apocalyptic number.

2066210788824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2066210788824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690344448000).

2066210788824 is an abundant number, since it is smaller than the sum of its proper divisors (5314478107176).

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

2066210788824 is a wasteful number, since it uses less digits than its factorization.

2066210788824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6004 (or 5994 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 2066210788824 in words is "two trillion, sixty-six billion, two hundred ten million, seven hundred eighty-eight thousand, eight hundred twenty-four".