Search a number
-
+
67864842045 = 3257111312711863
BaseRepresentation
bin111111001101000011…
…110100111100111101
320111011121200011210100
4333031003310330331
52102441344421140
651102055031313
74621516432230
oct771503647475
9214147604710
1067864842045
1126865a30320
121119b96b539
136526c99b90
1433db217417
151b72e51530
hexfcd0f4f3d

67864842045 has 192 divisors, whose sum is σ = 159197036544. Its totient is φ = 25826895360.

The previous prime is 67864842013. The next prime is 67864842047. The reversal of 67864842045 is 54024846876.

It is a happy number.

67864842045 is a `hidden beast` number, since 67 + 86 + 48 + 420 + 45 = 666.

It is not a de Polignac number, because 67864842045 - 25 = 67864842013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 67864841982 and 67864842000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67864842047) 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, 5714784 + ... + 5726646.

It is an arithmetic number, because the mean of its divisors is an integer number (829151232).

Almost surely, 267864842045 is an apocalyptic number.

67864842045 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

67864842045 is an abundant number, since it is smaller than the sum of its proper divisors (91332194499).

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

67864842045 is a wasteful number, since it uses less digits than its factorization.

67864842045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12032 (or 12029 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

It can be divided in two parts, 67864 and 842045, that added together give a palindrome (909909).

The spelling of 67864842045 in words is "sixty-seven billion, eight hundred sixty-four million, eight hundred forty-two thousand, forty-five".