Search a number
-
+
11662939122912 = 253471189656587
BaseRepresentation
bin1010100110110111110101…
…0101111110110011100000
31112021222002021120110020000
42221231331111332303200
53012041144403413122
640445514045420000
72312422334562450
oct251557525766340
945258067513200
1011662939122912
1137972520a0070
12138443286a600
13667a6c6c9a0c
142c46bc789d60
151535a6ce60ac
hexa9b7d57ece0

11662939122912 has 480 divisors, whose sum is σ = 43244671599360. Its totient is φ = 2995292805120.

The previous prime is 11662939122889. The next prime is 11662939122929. The reversal of 11662939122912 is 21922193926611.

11662939122912 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 29 + 391 + 229 + 1 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17434683 + ... + 18091269.

It is an arithmetic number, because the mean of its divisors is an integer number (90093065832).

Almost surely, 211662939122912 is an apocalyptic number.

11662939122912 is a gapful number since it is divisible by the number (12) 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 11662939122912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21622335799680).

11662939122912 is an abundant number, since it is smaller than the sum of its proper divisors (31581732476448).

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

11662939122912 is a wasteful number, since it uses less digits than its factorization.

11662939122912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656716 (or 656699 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The spelling of 11662939122912 in words is "eleven trillion, six hundred sixty-two billion, nine hundred thirty-nine million, one hundred twenty-two thousand, nine hundred twelve".