| Base | Representation |
|---|---|
| bin | 100000000000100011… |
| … | …1111101111000000000 |
| 3 | 20120102111022121000100 |
| 4 | 1000001013331320000 |
| 5 | 2111234003424100 |
| 6 | 51324501122400 |
| 7 | 4652254161420 |
| oct | 1000107757000 |
| 9 | 216374277010 |
| 10 | 68738342400 |
| 11 | 27174003042 |
| 12 | 113a43b9400 |
| 13 | 6635c458b0 |
| 14 | 3481236480 |
| 15 | 1bc4996400 |
| hex | 10011fde00 |
68738342400 has 1440 divisors, whose sum is σ = 310290140160. Its totient is φ = 14146928640.
The previous prime is 68738342377. The next prime is 68738342423. The reversal of 68738342400 is 424383786.
68738342400 is a `hidden beast` number, since 68 + 73 + 83 + 42 + 400 = 666.
It is an interprime number because it is at equal distance from previous prime (68738342377) and next prime (68738342423).
It is a tau number, because it is divible by the number of its divisors (1440).
It is a super-3 number, since 3×687383424003 (a number of 33 digits) contains 333 as substring.
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 (13) of ones.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 828172759 + ... + 828172841.
It is an arithmetic number, because the mean of its divisors is an integer number (215479264).
Almost surely, 268738342400 is an apocalyptic number.
68738342400 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 68738342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155145070080).
68738342400 is an abundant number, since it is smaller than the sum of its proper divisors (241551797760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
68738342400 is a wasteful number, since it uses less digits than its factorization.
68738342400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 216 (or 192 counting only the distinct ones).
The product of its (nonzero) digits is 774144, while the sum is 45.
The spelling of 68738342400 in words is "sixty-eight billion, seven hundred thirty-eight million, three hundred forty-two thousand, four hundred".
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