| Base | Representation |
|---|---|
| bin | 1101110100000101110101001… |
| … | …0111110100001101101100000 |
| 3 | 11201110210211121000002011210100 |
| 4 | 3131001131102332201231200 |
| 5 | 2004402332144030341022 |
| 6 | 13323230030012302400 |
| 7 | 411515425335623040 |
| oct | 33501352276415540 |
| 9 | 4643724530064710 |
| 10 | 972068455324512 |
| 11 | 261804a0a292927 |
| 12 | 91035466a71a00 |
| 13 | 3295287b592180 |
| 14 | 132085157bd720 |
| 15 | 775aae81de1ac |
| hex | 3741752fa1b60 |
972068455324512 has 4608 divisors, whose sum is σ = 3834434743566336. Its totient is φ = 226801011916800.
The previous prime is 972068455324487. The next prime is 972068455324529. The reversal of 972068455324512 is 215423554860279.
972068455324512 is a `hidden beast` number, since 9 + 7 + 2 + 0 + 6 + 8 + 4 + 553 + 24 + 51 + 2 = 666.
972068455324512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a self number, because there is not a number n which added to its sum of digits gives 972068455324512.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 5618892805258 + ... + 5618892805430.
It is an arithmetic number, because the mean of its divisors is an integer number (832125595392).
It is a 1-persistent number, because it is pandigital, but 2⋅972068455324512 = 1944136910649024 is not.
Almost surely, 2972068455324512 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 972068455324512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917217371783168).
972068455324512 is an abundant number, since it is smaller than the sum of its proper divisors (2862366288241824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
972068455324512 is a wasteful number, since it uses less digits than its factorization.
972068455324512 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 462 (or 451 counting only the distinct ones).
The product of its (nonzero) digits is 145152000, while the sum is 63.
The spelling of 972068455324512 in words is "nine hundred seventy-two trillion, sixty-eight billion, four hundred fifty-five million, three hundred twenty-four thousand, five hundred twelve".
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