Search a number
-
+
12223762616460 = 22352943177791939
BaseRepresentation
bin1011000111100001000100…
…0001110101000010001100
31121021120200000220202222210
42301320101001311002030
53100233231212211320
641555304035310420
72401065142612503
oct261702101650214
947246600822883
1012223762616460
1139930833624aa
12145506944b410
136a8907a92155
143038c198583a
15162e7c5e50e0
hexb1e1107508c

12223762616460 has 192 divisors, whose sum is σ = 36250956403200. Its totient is φ = 3072312004608.

The previous prime is 12223762616423. The next prime is 12223762616579. The reversal of 12223762616460 is 6461626732221.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132909171 + ... + 133001109.

It is an arithmetic number, because the mean of its divisors is an integer number (188807064600).

Almost surely, 212223762616460 is an apocalyptic number.

12223762616460 is a gapful number since it is divisible by the number (10) 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 12223762616460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18125478201600).

12223762616460 is an abundant number, since it is smaller than the sum of its proper divisors (24027193786740).

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

12223762616460 is a wasteful number, since it uses less digits than its factorization.

12223762616460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93800 (or 93798 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 12223762616460 in words is "twelve trillion, two hundred twenty-three billion, seven hundred sixty-two million, six hundred sixteen thousand, four hundred sixty".