| Base | Representation |
|---|---|
| bin | 10001101111000001011010… |
| … | …110101011000100011110001 |
| 3 | 101020011112210210100022110000 |
| 4 | 101233001122311120203301 |
| 5 | 40210410132242222100 |
| 6 | 433515502443500213 |
| 7 | 22300115242163100 |
| oct | 2157013265304361 |
| 9 | 336145723308400 |
| 10 | 77998130039025 |
| 11 | 22941903aaaa69 |
| 12 | 88b8687b27669 |
| 13 | 346a266083c81 |
| 14 | 15391b5a1a037 |
| 15 | 903d9c6d3900 |
| hex | 46f05ad588f1 |
77998130039025 has 675 divisors, whose sum is σ = 179085201388401. Its totient is φ = 33462504915840.
The previous prime is 77998130039017. The next prime is 77998130039057. The reversal of 77998130039025 is 52093003189977.
The square root of 77998130039025 is 8831655.
It is a perfect power (a square), and thus also a powerful number.
77998130039025 is a `hidden beast` number, since 7 + 7 + 9 + 98 + 130 + 0 + 390 + 25 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 587554443441 + 77410575595584 = 766521^2 + 8798328^2 .
It is a tau number, because it is divible by the number of its divisors (675).
It is not a de Polignac number, because 77998130039025 - 23 = 77998130039017 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (63).
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 674 ways as a sum of consecutive naturals, for example, 1471662830899 + ... + 1471662830951.
Almost surely, 277998130039025 is an apocalyptic number.
77998130039025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.
77998130039025 is the 8831655-th square number.
77998130039025 is the 4415828-th centered octagonal number.
It is an amenable number.
77998130039025 is an abundant number, since it is smaller than the sum of its proper divisors (101087071349376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
77998130039025 is an frugal number, since it uses more digits than its factorization.
77998130039025 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 234 (or 91 counting only the distinct ones).
The product of its (nonzero) digits is 25719120, while the sum is 63.
The spelling of 77998130039025 in words is "seventy-seven trillion, nine hundred ninety-eight billion, one hundred thirty million, thirty-nine thousand, twenty-five".
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