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12923436195 = 35550920897
BaseRepresentation
bin11000000100100101…
…11111110010100011
31020100122201120200000
430002102333302203
5202431344424240
65534214031043
7635153252355
oct140222776243
936318646600
1012923436195
115531a4098a
122608048483
1312ac575687
148a85190d5
1550987b430
hex3024bfca3

12923436195 has 48 divisors (see below), whose sum is σ = 23277028320. Its totient is φ = 6878628864.

The previous prime is 12923436191. The next prime is 12923436217. The reversal of 12923436195 is 59163432921.

12923436195 is a `hidden beast` number, since 1 + 2 + 9 + 23 + 4 + 3 + 619 + 5 = 666.

12923436195 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12923436195 - 22 = 12923436191 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 12923436195.

It is not an unprimeable number, because it can be changed into a prime (12923436191) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 607987 + ... + 628883.

It is an arithmetic number, because the mean of its divisors is an integer number (484938090).

Almost surely, 212923436195 is an apocalyptic number.

12923436195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12923436195 is a deficient number, since it is larger than the sum of its proper divisors (10353592125).

12923436195 is an equidigital number, since it uses as much as digits as its factorization.

12923436195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21426 (or 21414 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The spelling of 12923436195 in words is "twelve billion, nine hundred twenty-three million, four hundred thirty-six thousand, one hundred ninety-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 509 1215 1527 2545 4581 7635 13743 20897 22905 41229 62691 68715 104485 123687 188073 206145 313455 564219 618435 940365 1692657 2821095 5077971 8463285 10636573 25389855 31909719 53182865 95729157 159548595 287187471 478645785 861562413 1435937355 2584687239 4307812065 12923436195