Search a number
-
+
6223762004040 = 2332574567540781
BaseRepresentation
bin101101010010001010100…
…0111111001100001001000
3211000222121200020010000100
41122210111013321201020
51303432231033112130
621123053511205400
71211436424110660
oct132442507714110
924028550203010
106223762004040
111a8a534441a19
12846259376860
13361b8a579699
14177335a771a0
15abd6358ac60
hex5a9151f9848

6223762004040 has 192 divisors, whose sum is σ = 23121934767360. Its totient is φ = 1422260052480.

The previous prime is 6223762004027. The next prime is 6223762004063. The reversal of 6223762004040 is 404002673226.

6223762004040 is a `hidden beast` number, since 6 + 2 + 2 + 376 + 200 + 40 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6223762003986 and 6223762004004.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 11238450 + ... + 11779230.

It is an arithmetic number, because the mean of its divisors is an integer number (120426743580).

Almost surely, 26223762004040 is an apocalyptic number.

6223762004040 is a gapful number since it is divisible by the number (60) 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 6223762004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11560967383680).

6223762004040 is an abundant number, since it is smaller than the sum of its proper divisors (16898172763320).

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

6223762004040 is a wasteful number, since it uses less digits than its factorization.

6223762004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545372 (or 545365 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Adding to 6223762004040 its reverse (404002673226), we get a palindrome (6627764677266).

The spelling of 6223762004040 in words is "six trillion, two hundred twenty-three billion, seven hundred sixty-two million, four thousand, forty".