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12444263128 = 2311419547617
BaseRepresentation
bin10111001011011110…
…00110001011011000
31012010021002001210101
423211233012023120
5200441212410003
65414455425144
7620244330343
oct134557061330
935107061711
1012444263128
11530650a090
1224b36851b4
13123420320b
14860a2545a
154cc77911d
hex2e5bc62d8

12444263128 has 64 divisors (see below), whose sum is σ = 25602998400. Its totient is φ = 5623537920.

The previous prime is 12444263099. The next prime is 12444263131. The reversal of 12444263128 is 82136244421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20168676 + ... + 20169292.

It is an arithmetic number, because the mean of its divisors is an integer number (400046850).

Almost surely, 212444263128 is an apocalyptic number.

It is an amenable number.

12444263128 is an abundant number, since it is smaller than the sum of its proper divisors (13158735272).

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

12444263128 is a wasteful number, since it uses less digits than its factorization.

12444263128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1596 counting only the distinct ones).

The product of its digits is 73728, while the sum is 37.

It can be divided in two parts, 12444 and 263128, that added together give a palindrome (275572).

The spelling of 12444263128 in words is "twelve billion, four hundred forty-four million, two hundred sixty-three thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 88 419 547 617 838 1094 1234 1676 2188 2468 3352 4376 4609 4936 6017 6787 9218 12034 13574 18436 24068 27148 36872 48136 54296 229193 258523 337499 458386 517046 674998 916772 1034092 1349996 1833544 2068184 2521123 2699992 2843753 3712489 5042246 5687506 7424978 10084492 11375012 14849956 20168984 22750024 29699912 141412081 282824162 565648324 1131296648 1555532891 3111065782 6222131564 12444263128