| Base | Representation |
|---|---|
| bin | 10111010010001000000101… |
| … | …00011011001001000000000 |
| 3 | 20201021201001021121222111000 |
| 4 | 23221010002203121020000 |
| 5 | 23202331303034434000 |
| 6 | 300521040512052000 |
| 7 | 13533050231666130 |
| oct | 1351040243311000 |
| 9 | 221251037558430 |
| 10 | 51200347968000 |
| 11 | 1534aa44701740 |
| 12 | 58aab78b34000 |
| 13 | 2275231131cba |
| 14 | c90178030ac0 |
| 15 | 5dbc8a182000 |
| hex | 2e91028d9200 |
51200347968000 has 2560 divisors, whose sum is σ = 243440693084160. Its totient is φ = 10295009280000.
The previous prime is 51200347967983. The next prime is 51200347968017. The reversal of 51200347968000 is 86974300215.
51200347968000 is a `hidden beast` number, since 512 + 0 + 0 + 3 + 4 + 79 + 68 + 0 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (51200347967983) and next prime (51200347968017).
It is a tau number, because it is divible by the number of its divisors (2560).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4124729794 + ... + 4124742206.
It is an arithmetic number, because the mean of its divisors is an integer number (95094020736).
It is a 1-persistent number, because it is pandigital, but 2⋅51200347968000 = 102400695936000 is not.
Almost surely, 251200347968000 is an apocalyptic number.
51200347968000 is a gapful number since it is divisible by the number (50) 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 51200347968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121720346542080).
51200347968000 is an abundant number, since it is smaller than the sum of its proper divisors (192240345116160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
51200347968000 is a wasteful number, since it uses less digits than its factorization.
51200347968000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12504 (or 12472 counting only the distinct ones).
The product of its (nonzero) digits is 362880, while the sum is 45.
The spelling of 51200347968000 in words is "fifty-one trillion, two hundred billion, three hundred forty-seven million, nine hundred sixty-eight thousand".
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