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68679471600 = 24325279241489
BaseRepresentation
bin111111111101100111…
…011001000111110000
320120021101112122110100
4333331213121013300
52111123421042400
651314555232400
74650640606425
oct777547310760
9216241478410
1068679471600
1127143853593
1211388748700
1366269a28bc
1434774add4c
151bbe718100
hexffd9d91f0

68679471600 has 180 divisors, whose sum is σ = 241354765600. Its totient is φ = 18082621440.

The previous prime is 68679471587. The next prime is 68679471667. The reversal of 68679471600 is 617497686.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 163656 + ... + 405144.

Almost surely, 268679471600 is an apocalyptic number.

68679471600 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 68679471600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120677382800).

68679471600 is an abundant number, since it is smaller than the sum of its proper divisors (172675294000).

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

68679471600 is a wasteful number, since it uses less digits than its factorization.

68679471600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241592 (or 241578 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 68679471600 in words is "sixty-eight billion, six hundred seventy-nine million, four hundred seventy-one thousand, six hundred".