Search a number
-
+
12781922316480 = 263654371131137
BaseRepresentation
bin1011101000000000010111…
…1100000111000011000000
31200020221101010212101000000
42322000011330013003000
53133404334103111410
643103533431000000
72456314644024612
oct272000574070300
950227333771000
1012781922316480
114088867a18389
12152527bb09000
1371943a309ab5
14322911094db2
15172749111dc0
hexba005f070c0

12781922316480 has 1568 divisors, whose sum is σ = 48063270993408. Its totient is φ = 3233522073600.

The previous prime is 12781922316473. The next prime is 12781922316503. The reversal of 12781922316480 is 8461322918721.

12781922316480 is a `hidden beast` number, since 1 + 2 + 78 + 1 + 92 + 2 + 3 + 1 + 6 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 93298702972 + ... + 93298703108.

Almost surely, 212781922316480 is an apocalyptic number.

12781922316480 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 12781922316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24031635496704).

12781922316480 is an abundant number, since it is smaller than the sum of its proper divisors (35281348676928).

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

12781922316480 is a wasteful number, since it uses less digits than its factorization.

12781922316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 12781922316480 in words is "twelve trillion, seven hundred eighty-one billion, nine hundred twenty-two million, three hundred sixteen thousand, four hundred eighty".