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12106654392 = 2337148348593
BaseRepresentation
bin10110100011001110…
…01110001010111000
31011020201210202200010
423101213032022320
5144243300420032
65321155341520
7606004602330
oct132147161270
934221722603
1012106654392
1151529886a8
12241a5b18a0
1311ac298131
1482bc620c0
154accdbccc
hex2d19ce2b8

12106654392 has 64 divisors (see below), whose sum is σ = 34614478080. Its totient is φ = 3456640512.

The previous prime is 12106654319. The next prime is 12106654411. The reversal of 12106654392 is 29345660121.

12106654392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12106654392.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224848 + ... + 273440.

It is an arithmetic number, because the mean of its divisors is an integer number (540851220).

Almost surely, 212106654392 is an apocalyptic number.

12106654392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12106654392 is an abundant number, since it is smaller than the sum of its proper divisors (22507823688).

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

12106654392 is a wasteful number, since it uses less digits than its factorization.

12106654392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50092 (or 50088 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 12106654392 in words is "twelve billion, one hundred six million, six hundred fifty-four thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1483 2966 4449 5932 8898 10381 11864 17796 20762 31143 35592 41524 48593 62286 83048 97186 124572 145779 194372 249144 291558 340151 388744 583116 680302 1020453 1166232 1360604 2040906 2721208 4081812 8163624 72063419 144126838 216190257 288253676 432380514 504443933 576507352 864761028 1008887866 1513331799 1729522056 2017775732 3026663598 4035551464 6053327196 12106654392