| Base | Representation |
|---|---|
| bin | 10000100110000010101100… |
| … | …111010001111010000000000 |
| 3 | 100120102002211201121202121200 |
| 4 | 100212002230322033100000 |
| 5 | 34031223123210212400 |
| 6 | 415115530501421200 |
| 7 | 21241563260600400 |
| oct | 2046025472172000 |
| 9 | 316362751552550 |
| 10 | 72982985241600 |
| 11 | 21288a01562aa5 |
| 12 | 822871210a800 |
| 13 | 319535c476b15 |
| 14 | 1404576b1a800 |
| 15 | 8686c55e9b00 |
| hex | 4260ace8f400 |
72982985241600 has 2376 divisors, whose sum is σ = 312256772912448. Its totient is φ = 16233902899200.
The previous prime is 72982985241577. The next prime is 72982985241629. The reversal of 72982985241600 is 614258928927.
72982985241600 is a `hidden beast` number, since 7 + 2 + 9 + 8 + 2 + 98 + 524 + 16 + 0 + 0 = 666.
72982985241600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×729829852416002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 66529612252 + ... + 66529613348.
Almost surely, 272982985241600 is an apocalyptic number.
72982985241600 is a gapful number since it is divisible by the number (70) 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 72982985241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156128386456224).
72982985241600 is an abundant number, since it is smaller than the sum of its proper divisors (239273787670848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
72982985241600 is a wasteful number, since it uses less digits than its factorization.
72982985241600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1301 (or 1268 counting only the distinct ones).
The product of its (nonzero) digits is 34836480, while the sum is 63.
The spelling of 72982985241600 in words is "seventy-two trillion, nine hundred eighty-two billion, nine hundred eighty-five million, two hundred forty-one thousand, six hundred".
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