| Base | Representation |
|---|---|
| bin | 10000011001111011101100… |
| … | …000111100111101110010000 |
| 3 | 100110110112212211210001110000 |
| 4 | 100121323230013213232100 |
| 5 | 33424104340421341041 |
| 6 | 413241344032410000 |
| 7 | 21124503426341400 |
| oct | 2031735407475620 |
| 9 | 313415784701400 |
| 10 | 72150822058896 |
| 11 | 20a97aa00a2079 |
| 12 | 81133903a6900 |
| 13 | 3134a40c249b9 |
| 14 | 13b6192d34800 |
| 15 | 851c1d835bb6 |
| hex | 419eec1e7b90 |
72150822058896 has 675 divisors, whose sum is σ = 249936541102017. Its totient is φ = 20035354510080.
The previous prime is 72150822058853. The next prime is 72150822058897. The reversal of 72150822058896 is 69885022805127.
The square root of 72150822058896 is 8494164.
It is a perfect power (a square), and thus also a powerful number.
72150822058896 is a `hidden beast` number, since 7 + 21 + 5 + 0 + 8 + 2 + 20 + 588 + 9 + 6 = 666.
72150822058896 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 64561546400400 + 7589275658496 = 8035020^2 + 2754864^2 .
It is a super-2 number, since 2×721508220588962 (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 not an unprimeable number, because it can be changed into a prime (72150822058897) by changing a digit.
It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 79199584681 + ... + 79199585591.
Almost surely, 272150822058896 is an apocalyptic number.
72150822058896 is the 8494164-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 72150822058896
72150822058896 is an abundant number, since it is smaller than the sum of its proper divisors (177785719043121).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
72150822058896 is an frugal number, since it uses more digits than its factorization.
72150822058896 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1930 (or 960 counting only the distinct ones).
The product of its (nonzero) digits is 38707200, while the sum is 63.
The spelling of 72150822058896 in words is "seventy-two trillion, one hundred fifty billion, eight hundred twenty-two million, fifty-eight thousand, eight hundred ninety-six".
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