| Base | Representation |
|---|---|
| bin | 100100101010010100… |
| … | …1110111011111100000 |
| 3 | 21112012210202202111200 |
| 4 | 1021110221313133200 |
| 5 | 2242214244011142 |
| 6 | 100100134041200 |
| 7 | 5454665114250 |
| oct | 1112451673740 |
| 9 | 245183682450 |
| 10 | 78729672672 |
| 11 | 30430936392 |
| 12 | 133124a9200 |
| 13 | 7568bb8b41 |
| 14 | 3b4c17d960 |
| 15 | 20abbe064c |
| hex | 1254a777e0 |
78729672672 has 288 divisors, whose sum is σ = 271520750592. Its totient is φ = 21124288512.
The previous prime is 78729672643. The next prime is 78729672733. The reversal of 78729672672 is 27627692787.
78729672672 is a `hidden beast` number, since 7 + 87 + 296 + 7 + 267 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×787296726722 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a nude number because it is divisible by every one of its digits.
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 47 ways as a sum of consecutive naturals, for example, 17236533 + ... + 17241099.
It is an arithmetic number, because the mean of its divisors is an integer number (942780384).
Almost surely, 278729672672 is an apocalyptic number.
78729672672 is a gapful number since it is divisible by the number (72) 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 78729672672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135760375296).
78729672672 is an abundant number, since it is smaller than the sum of its proper divisors (192791077920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
78729672672 is a wasteful number, since it uses less digits than its factorization.
78729672672 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5110 (or 5099 counting only the distinct ones).
The product of its digits is 49787136, while the sum is 63.
The spelling of 78729672672 in words is "seventy-eight billion, seven hundred twenty-nine million, six hundred seventy-two thousand, six hundred seventy-two".
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