| Base | Representation |
|---|---|
| bin | 10111011000110010010111… |
| … | …01001000000111001000000 |
| 3 | 20202002120202220010000000000 |
| 4 | 23230121023221000321000 |
| 5 | 23220104004101220211 |
| 6 | 301214130213000000 |
| 7 | 13555431463312200 |
| oct | 1354311351007100 |
| 9 | 222076686100000 |
| 10 | 51429207445056 |
| 11 | 15429005934121 |
| 12 | 59273a9623000 |
| 13 | 22909a44479cc |
| 14 | c9b288cb0400 |
| 15 | 5e2bd2042656 |
| hex | 2ec64ba40e40 |
51429207445056 has 2079 divisors, whose sum is σ = 195464348022897. Its totient is φ = 13383583395840.
The previous prime is 51429207445043. The next prime is 51429207445061. The reversal of 51429207445056 is 65054470292415.
The square root of 51429207445056 is 7171416.
It is a perfect power (a square), and thus also a powerful number.
51429207445056 is a `hidden beast` number, since 5 + 1 + 4 + 2 + 92 + 0 + 7 + 44 + 505 + 6 = 666.
It can be written as a sum of positive squares in only one way, i.e., 40040040398400 + 11389167046656 = 6327720^2 + 3374784^2 .
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 51429207444993 and 51429207445011.
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 296 ways as a sum of consecutive naturals, for example, 1659006691761 + ... + 1659006691791.
Almost surely, 251429207445056 is an apocalyptic number.
51429207445056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.
51429207445056 is the 7171416-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 51429207445056
51429207445056 is an abundant number, since it is smaller than the sum of its proper divisors (144035140577841).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
51429207445056 is an frugal number, since it uses more digits than its factorization.
51429207445056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 152 (or 60 counting only the distinct ones).
The product of its (nonzero) digits is 12096000, while the sum is 54.
The spelling of 51429207445056 in words is "fifty-one trillion, four hundred twenty-nine billion, two hundred seven million, four hundred forty-five thousand, fifty-six".
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