Search a number
-
+
12044678780160 = 2833513217294789
BaseRepresentation
bin1010111101000101111011…
…0011001101010100000000
31120122110102101002022002000
42233101132303031110000
53034320000231431120
641341125443224000
72352125240251545
oct257213663152400
946573371068060
1012044678780160
113924135192704
12142640a678000
13694a67bb3500
142d8d73712bcc
1515d49a55c990
hexaf45eccd500

12044678780160 has 3456 divisors, whose sum is σ = 52355310336000. Its totient is φ = 2607267446784.

The previous prime is 12044678780153. The next prime is 12044678780161. The reversal of 12044678780160 is 6108787644021.

12044678780160 is a `hidden beast` number, since 1 + 2 + 0 + 446 + 78 + 78 + 0 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a junction number, because it is equal to n+sod(n) for n = 12044678780097 and 12044678780106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12044678780161) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 135333469396 + ... + 135333469484.

It is an arithmetic number, because the mean of its divisors is an integer number (15149106000).

Almost surely, 212044678780160 is an apocalyptic number.

12044678780160 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 12044678780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26177655168000).

12044678780160 is an abundant number, since it is smaller than the sum of its proper divisors (40310631555840).

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

12044678780160 is a wasteful number, since it uses less digits than its factorization.

12044678780160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 12044678780160 in words is "twelve trillion, forty-four billion, six hundred seventy-eight million, seven hundred eighty thousand, one hundred sixty".