Search a number
-
+
9225633941888 = 2772132191273607
BaseRepresentation
bin1000011001000000001010…
…1000100100100110000000
31012122221222021212200102212
42012100002220210212000
52202123044242120023
631342110413001252
71641346544426600
oct206200250444600
935587867780385
109225633941888
112a37629937271
12104bba6183228
1351bc86b66200
1423c747410c00
1510eea72e7e78
hex86402a24980

9225633941888 has 576 divisors, whose sum is σ = 24568159334400. Its totient is φ = 3429435469824.

The previous prime is 9225633941863. The next prime is 9225633941897. The reversal of 9225633941888 is 8881493365229.

It is a super-2 number, since 2×92256339418882 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2557700981 + ... + 2557704587.

It is an arithmetic number, because the mean of its divisors is an integer number (42653054400).

Almost surely, 29225633941888 is an apocalyptic number.

9225633941888 is a gapful number since it is divisible by the number (98) 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 9225633941888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12284079667200).

9225633941888 is an abundant number, since it is smaller than the sum of its proper divisors (15342525392512).

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

9225633941888 is a wasteful number, since it uses less digits than its factorization.

9225633941888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3807 (or 3775 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 68.

The spelling of 9225633941888 in words is "nine trillion, two hundred twenty-five billion, six hundred thirty-three million, nine hundred forty-one thousand, eight hundred eighty-eight".