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12444864278620 = 22543269456711779
BaseRepresentation
bin1011010100011000101110…
…1101101111000001011100
31122001201100222200222010011
42311012023231233001130
53112344040223403440
642245031451253004
72423053224001444
oct265061355570134
948051328628104
1012444864278620
113a689234a2814
12148ba93a4a164
136c3712a9c347
143104983a1124
15168abd3989ea
hexb518bb6f05c

12444864278620 has 96 divisors (see below), whose sum is σ = 26849556518400. Its totient is φ = 4842632680704.

The previous prime is 12444864278617. The next prime is 12444864278621. The reversal of 12444864278620 is 2687246844421.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12444864278621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1056523891 + ... + 1056535669.

It is an arithmetic number, because the mean of its divisors is an integer number (279682880400).

Almost surely, 212444864278620 is an apocalyptic number.

12444864278620 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 12444864278620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13424778259200).

12444864278620 is an abundant number, since it is smaller than the sum of its proper divisors (14404692239780).

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

12444864278620 is a wasteful number, since it uses less digits than its factorization.

12444864278620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16667 (or 16665 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 58.

The spelling of 12444864278620 in words is "twelve trillion, four hundred forty-four billion, eight hundred sixty-four million, two hundred seventy-eight thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 269 430 538 860 1076 1345 2690 4567 5380 9134 11567 11779 18268 22835 23134 23558 45670 46268 47116 57835 58895 91340 115670 117790 196381 231340 235580 392762 506497 785524 981905 1012994 1228523 1963810 2025988 2457046 2532485 3168551 3927620 4914092 5064970 6142615 6337102 10129940 12285230 12674204 15842755 24570460 31685510 52826489 53794693 63371020 105652978 107589386 136247693 211305956 215178772 264132445 268973465 272495386 528264890 537946930 544990772 681238465 1056529780 1075893860 1362476930 2313171799 2724953860 4626343598 9252687196 11565858995 14470772417 23131717990 28941544834 46263435980 57883089668 72353862085 144707724170 289415448340 622243213931 1244486427862 2488972855724 3111216069655 6222432139310 12444864278620