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12903112944 = 2433255711681
BaseRepresentation
bin11000000010001010…
…11110000011110000
31020022020111001102000
430001011132003300
5202411144103234
65532210254000
7634515436041
oct140105360360
936266431360
1012903112944
11552151a807
122601287300
1312a82ab097
148a59488c8
15507bb4899
hex30115e0f0

12903112944 has 80 divisors (see below), whose sum is σ = 37054369440. Its totient is φ = 4298987520.

The previous prime is 12903112909. The next prime is 12903113011. The reversal of 12903112944 is 44921130921.

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 = 12903112899 and 12903112908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1098784 + ... + 1110464.

It is an arithmetic number, because the mean of its divisors is an integer number (463179618).

Almost surely, 212903112944 is an apocalyptic number.

It is an amenable number.

12903112944 is an abundant number, since it is smaller than the sum of its proper divisors (24151256496).

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

12903112944 is a wasteful number, since it uses less digits than its factorization.

12903112944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14255 (or 14243 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 12903112944 in words is "twelve billion, nine hundred three million, one hundred twelve thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 2557 5114 7671 10228 11681 15342 20456 23013 23362 30684 35043 40912 46026 46724 61368 69039 70086 92052 93448 105129 122736 138078 140172 184104 186896 210258 276156 280344 315387 368208 420516 552312 560688 630774 841032 1104624 1261548 1682064 2523096 5046192 29868317 59736634 89604951 119473268 179209902 238946536 268814853 358419804 477893072 537629706 716839608 806444559 1075259412 1433679216 1612889118 2150518824 3225778236 4301037648 6451556472 12903112944