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12115455444 = 223437393381
BaseRepresentation
bin10110100100010001…
…10010110111010100
31011021100100220110000
423102020302313110
5144303024033234
65322112131300
7606142446351
oct132210626724
934240326400
1012115455444
115157949aa4
122421536b30
1311b105a061
1482d0b3628
154ad979899
hex2d2232dd4

12115455444 has 30 divisors (see below), whose sum is σ = 31672194554. Its totient is φ = 4038485040.

The previous prime is 12115455427. The next prime is 12115455509. The reversal of 12115455444 is 44455451121.

12115455444 is a `hidden beast` number, since 1 + 2 + 11 + 54 + 554 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11053999044 + 1061456400 = 105138^2 + 32580^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12115455399 and 12115455408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18696367 + ... + 18697014.

Almost surely, 212115455444 is an apocalyptic number.

It is an amenable number.

12115455444 is an abundant number, since it is smaller than the sum of its proper divisors (19556739110).

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

12115455444 is a wasteful number, since it uses less digits than its factorization.

12115455444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37393397 (or 37393386 counting only the distinct ones).

The product of its digits is 64000, while the sum is 36.

The spelling of 12115455444 in words is "twelve billion, one hundred fifteen million, four hundred fifty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 37393381 74786762 112180143 149573524 224360286 336540429 448720572 673080858 1009621287 1346161716 2019242574 3028863861 4038485148 6057727722 12115455444