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12271374304 = 257312716521
BaseRepresentation
bin10110110110110111…
…00100111111100000
31011200012202101220121
423123123210333200
5200112432434204
65345402050024
7613044650320
oct133333447740
934605671817
1012271374304
115227964162
1224657a9914
13120744c037
14845a9d280
154bc4c7b54
hex2db6e4fe0

12271374304 has 96 divisors (see below), whose sum is σ = 28610813952. Its totient is φ = 5069952000.

The previous prime is 12271374301. The next prime is 12271374341. The reversal of 12271374304 is 40347317221.

It is a self number, because there is not a number n which added to its sum of digits gives 12271374304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12271374301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1878564 + ... + 1885084.

It is an arithmetic number, because the mean of its divisors is an integer number (298029312).

Almost surely, 212271374304 is an apocalyptic number.

12271374304 is a gapful number since it is divisible by the number (14) 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 12271374304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14305406976).

12271374304 is an abundant number, since it is smaller than the sum of its proper divisors (16339439648).

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

12271374304 is a wasteful number, since it uses less digits than its factorization.

12271374304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6840 (or 6832 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The spelling of 12271374304 in words is "twelve billion, two hundred seventy-one million, three hundred seventy-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 271 434 496 542 868 992 1084 1736 1897 2168 3472 3794 4336 6521 6944 7588 8401 8672 13042 15176 16802 26084 30352 33604 45647 52168 58807 60704 67208 91294 104336 117614 134416 182588 202151 208672 235228 268832 365176 404302 470456 730352 808604 940912 1415057 1460704 1617208 1767191 1881824 2830114 3234416 3534382 5660228 6468832 7068764 11320456 12370337 14137528 22640912 24740674 28275056 45281824 49481348 54782921 56550112 98962696 109565842 197925392 219131684 383480447 395850784 438263368 766960894 876526736 1533921788 1753053472 3067843576 6135687152 12271374304