Search a number
-
+
67423254861312 = 2933726711313147
BaseRepresentation
bin11110101010010001100110…
…01001111101011000000000
322211201121012120001012221000
433111020303021331120000
532314130311221030222
6355221452104332000
720126112052236300
oct1725106311753000
9284647176035830
1067423254861312
111a535050715299
12768b0b3774000
132b80ca76295cc
141291435403600
157bdc7854e9ac
hex3d523327d600

67423254861312 has 960 divisors, whose sum is σ = 237729972522240. Its totient is φ = 18806905700352.

The previous prime is 67423254861271. The next prime is 67423254861323. The reversal of 67423254861312 is 21316845232476.

67423254861312 is a `hidden beast` number, since 6 + 7 + 4 + 2 + 3 + 2 + 5 + 4 + 8 + 613 + 12 = 666.

It is a super-2 number, since 2×674232548613122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5128407123 + ... + 5128420269.

It is an arithmetic number, because the mean of its divisors is an integer number (247635388044).

Almost surely, 267423254861312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67423254861312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118864986261120).

67423254861312 is an abundant number, since it is smaller than the sum of its proper divisors (170306717660928).

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

67423254861312 is a wasteful number, since it uses less digits than its factorization.

67423254861312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13368 (or 13339 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 67423254861312 in words is "sixty-seven trillion, four hundred twenty-three billion, two hundred fifty-four million, eight hundred sixty-one thousand, three hundred twelve".