Search a number
-
+
68323798425600 = 213335231398581
BaseRepresentation
bin11111000100011110111111…
…01111000010000000000000
322221220200122222122020012000
433202033133233002000000
532423404114344104400
6401151304130304000
720251142263235334
oct1742173757020000
9287820588566160
1068323798425600
111a851a62016a73
1277b5739a28000
132c17ba28b1793
1412c2c64a817c4
157d73d364c600
hex3e23dfbc2000

68323798425600 has 672 divisors, whose sum is σ = 259109166190080. Its totient is φ = 17631903744000.

The previous prime is 68323798425563. The next prime is 68323798425647. The reversal of 68323798425600 is 652489732386.

It is a happy number.

68323798425600 is a `hidden beast` number, since 6 + 8 + 3 + 2 + 379 + 8 + 4 + 256 + 0 + 0 = 666.

It is a super-3 number, since 3×683237984256003 (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171218310 + ... + 171616890.

Almost surely, 268323798425600 is an apocalyptic number.

68323798425600 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 68323798425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129554583095040).

68323798425600 is an abundant number, since it is smaller than the sum of its proper divisors (190785367764480).

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

68323798425600 is a wasteful number, since it uses less digits than its factorization.

68323798425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398657 (or 398622 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 68323798425600 in words is "sixty-eight trillion, three hundred twenty-three billion, seven hundred ninety-eight million, four hundred twenty-five thousand, six hundred".