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68672424600 = 233252135949741
BaseRepresentation
bin111111111101001100…
…100000101010011000
320120020220021121210100
4333331030200222120
52111120120041400
651314144215400
74650523656303
oct777514405230
9216226247710
1068672424600
112713a88001a
121138630a560
1366253a6190
143476597b3a
151bbdcc5100
hexffd320a98

68672424600 has 288 divisors, whose sum is σ = 252579927600. Its totient is φ = 16617139200.

The previous prime is 68672424581. The next prime is 68672424629. The reversal of 68672424600 is 642427686.

68672424600 is a `hidden beast` number, since 6 + 86 + 72 + 42 + 460 + 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 71 ways as a sum of consecutive naturals, for example, 1355730 + ... + 1405470.

Almost surely, 268672424600 is an apocalyptic number.

68672424600 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 68672424600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126289963800).

68672424600 is an abundant number, since it is smaller than the sum of its proper divisors (183907503000).

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

68672424600 is a wasteful number, since it uses less digits than its factorization.

68672424600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49835 (or 49823 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 68672424600 in words is "sixty-eight billion, six hundred seventy-two million, four hundred twenty-four thousand, six hundred".