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12389774144 = 261119248751
BaseRepresentation
bin10111000100111110…
…01111001101000000
31011222110112201221212
423202133033031000
5200333240233034
65405231505252
7616013225336
oct134237171500
934873481855
1012389774144
115288782770
122499388228
131225b35807
148576bdb56
154c7ab42ce
hex2e27cf340

12389774144 has 84 divisors (see below), whose sum is σ = 28307556288. Its totient is φ = 5335200000.

The previous prime is 12389774141. The next prime is 12389774167. The reversal of 12389774144 is 44147798321.

12389774144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12389774092 and 12389774101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12389774141) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 229769 + ... + 278519.

Almost surely, 212389774144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12389774144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14153778144).

12389774144 is an abundant number, since it is smaller than the sum of its proper divisors (15917782144).

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

12389774144 is a wasteful number, since it uses less digits than its factorization.

12389774144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48812 (or 48783 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 50.

The spelling of 12389774144 in words is "twelve billion, three hundred eighty-nine million, seven hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 361 418 608 704 722 836 1216 1444 1672 2888 3344 3971 5776 6688 7942 11552 13376 15884 23104 31768 48751 63536 97502 127072 195004 254144 390008 536261 780016 926269 1072522 1560032 1852538 2145044 3120064 3705076 4290088 7410152 8580176 10188959 14820304 17160352 17599111 20377918 29640608 34320704 35198222 40755836 59281216 70396444 81511672 140792888 163023344 193590221 281585776 326046688 387180442 563171552 652093376 774360884 1126343104 1548721768 3097443536 6194887072 12389774144