Search a number
-
+
12381784978080 = 2535734910558897
BaseRepresentation
bin1011010000101101101111…
…1001010011001010100000
31121211200112212212111010210
42310023123321103022200
53110330343423244310
642200040303054120
72415361113540240
oct264133371231240
947750485774123
1012381784978080
113a440a3911681
12147b80a8a1340
136ba79c3b3a3b
1430b3d2981b20
1516712a63a820
hexb42dbe532a0

12381784978080 has 192 divisors, whose sum is σ = 44702150572800. Its totient is φ = 2822012780544.

The previous prime is 12381784978037. The next prime is 12381784978141. The reversal of 12381784978080 is 8087948718321.

It is a super-3 number, since 3×123817849780803 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4106809 + ... + 6452088.

It is an arithmetic number, because the mean of its divisors is an integer number (232823700900).

Almost surely, 212381784978080 is an apocalyptic number.

12381784978080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12381784978080 is an abundant number, since it is smaller than the sum of its proper divisors (32320365594720).

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

12381784978080 is a wasteful number, since it uses less digits than its factorization.

12381784978080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10559271 (or 10559263 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 66.

The spelling of 12381784978080 in words is "twelve trillion, three hundred eighty-one billion, seven hundred eighty-four million, nine hundred seventy-eight thousand, eighty".