Search a number
-
+
68485462200 = 233352171037243
BaseRepresentation
bin111111110010000011…
…010011100010111000
320112202212110221121000
4333302003103202320
52110224234242300
651243425045000
74643063552361
oct776203234270
9215685427530
1068485462200
1127054292441
1211333786760
1365c573523c
14345980ab68
151bac693c00
hexff20d38b8

68485462200 has 384 divisors, whose sum is σ = 252230284800. Its totient is φ = 17019279360.

The previous prime is 68485462187. The next prime is 68485462231. The reversal of 68485462200 is 226458486.

68485462200 is a `hidden beast` number, since 6 + 84 + 8 + 546 + 2 + 20 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9451779 + ... + 9459021.

It is an arithmetic number, because the mean of its divisors is an integer number (656849700).

Almost surely, 268485462200 is an apocalyptic number.

68485462200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68485462200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126115142400).

68485462200 is an abundant number, since it is smaller than the sum of its proper divisors (183744822600).

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

68485462200 is a wasteful number, since it uses less digits than its factorization.

68485462200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7388 (or 7373 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 68485462200 in words is "sixty-eight billion, four hundred eighty-five million, four hundred sixty-two thousand, two hundred".