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6415664665146 = 2311274149119179
BaseRepresentation
bin101110101011100001101…
…1010011101001000111010
3211201022221200221100202020
41131113003122131020322
51320103240123241041
621351152103215310
71231342102604652
oct135270332351072
924638850840666
106415664665146
1120539604a1600
12877495147536
13376cc1134269
1418273c593362
15b1d45bd8866
hex5d5c369d23a

6415664665146 has 48 divisors (see below), whose sum is σ = 14104166412000. Its totient is φ = 1944098275680.

The previous prime is 6415664665141. The next prime is 6415664665169.

6415664665146 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6415664665146.

It is not an unprimeable number, because it can be changed into a prime (6415664665141) 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 23 ways as a sum of consecutive naturals, for example, 53772585 + ... + 53891763.

It is an arithmetic number, because the mean of its divisors is an integer number (293836800250).

Almost surely, 26415664665146 is an apocalyptic number.

6415664665146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6415664665146 is an abundant number, since it is smaller than the sum of its proper divisors (7688501746854).

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

6415664665146 is a wasteful number, since it uses less digits than its factorization.

6415664665146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193355 (or 193344 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 60.

The spelling of 6415664665146 in words is "six trillion, four hundred fifteen billion, six hundred sixty-four million, six hundred sixty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 726 74149 119179 148298 222447 238358 357537 444894 715074 815639 1310969 1631278 2446917 2621938 3932907 4893834 7865814 8972029 14420659 17944058 26916087 28841318 43261977 53832174 86523954 8837003671 17674007342 26511011013 53022022026 97207040381 194414080762 291621121143 583242242286 1069277444191 2138554888382 3207832332573 6415664665146