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12696085215 = 32511234159461
BaseRepresentation
bin10111101001011111…
…01110001011011111
31012202210220221202100
423310233232023133
5202000144211330
65455453100143
7626422641462
oct136457561337
935683827670
1012696085215
115425677810
122563a87653
131274433078
148862572d9
154e491d060
hex2f4bee2df

12696085215 has 192 divisors, whose sum is σ = 26153487360. Its totient is φ = 5634816000.

The previous prime is 12696085151. The next prime is 12696085217. The reversal of 12696085215 is 51258069621.

12696085215 is a `hidden beast` number, since 1 + 2 + 69 + 60 + 8 + 521 + 5 = 666.

It is not a de Polignac number, because 12696085215 - 26 = 12696085151 is a prime.

It is a super-2 number, since 2×126960852152 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12696085217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27540085 + ... + 27540545.

It is an arithmetic number, because the mean of its divisors is an integer number (136216080).

Almost surely, 212696085215 is an apocalyptic number.

12696085215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12696085215 is an abundant number, since it is smaller than the sum of its proper divisors (13457402145).

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

12696085215 is a wasteful number, since it uses less digits than its factorization.

12696085215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 12696085215 in words is "twelve billion, six hundred ninety-six million, eighty-five thousand, two hundred fifteen".