| Base | Representation |
|---|---|
| bin | 11110100001110001110100… |
| … | …00111111100000100000000 |
| 3 | 22210200200122200210122200000 |
| 4 | 33100320322013330010000 |
| 5 | 32244334412340333112 |
| 6 | 354435411102400000 |
| 7 | 20066035353645336 |
| oct | 1720707207740400 |
| 9 | 283620580718600 |
| 10 | 67131313996032 |
| 11 | 1a432259706210 |
| 12 | 76425b9290000 |
| 13 | 2b5c5c0376c90 |
| 14 | 128125c75db56 |
| 15 | 7b638d66c7dc |
| hex | 3d0e3a1fc100 |
67131313996032 has 864 divisors, whose sum is σ = 249688763775360. Its totient is φ = 17673362472960.
The previous prime is 67131313996031. The next prime is 67131313996069. The reversal of 67131313996032 is 23069931313176.
It is a happy number.
67131313996032 is a `hidden beast` number, since 6 + 7 + 1 + 3 + 13 + 13 + 9 + 9 + 603 + 2 = 666.
It is a tau number, because it is divible by the number of its divisors (864).
It is a super-2 number, since 2×671313139960322 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 67131313996032.
It is not an unprimeable number, because it can be changed into a prime (67131313996031) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151005694 + ... + 151449602.
It is an arithmetic number, because the mean of its divisors is an integer number (288991624740).
Almost surely, 267131313996032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 67131313996032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124844381887680).
67131313996032 is an abundant number, since it is smaller than the sum of its proper divisors (182557449779328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67131313996032 is a wasteful number, since it uses less digits than its factorization.
67131313996032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 443981 (or 443955 counting only the distinct ones).
The product of its (nonzero) digits is 3306744, while the sum is 54.
The spelling of 67131313996032 in words is "sixty-seven trillion, one hundred thirty-one billion, three hundred thirteen million, nine hundred ninety-six thousand, thirty-two".
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