| Base | Representation |
|---|---|
| bin | 100001110010100001… |
| … | …0111000000100100000 |
| 3 | 20221021222121100120000 |
| 4 | 1003211002320010200 |
| 5 | 2142101411310102 |
| 6 | 53200140020000 |
| 7 | 5146105430562 |
| oct | 1034502700440 |
| 9 | 227258540500 |
| 10 | 72562213152 |
| 11 | 28856528800 |
| 12 | 12090b31600 |
| 13 | 6ac521a200 |
| 14 | 372501d332 |
| 15 | 1d4a52a01c |
| hex | 10e50b8120 |
72562213152 has 810 divisors, whose sum is σ = 261049429179. Its totient is φ = 19748551680.
The previous prime is 72562213117. The next prime is 72562213153. The reversal of 72562213152 is 25131226527.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
72562213152 is a `hidden beast` number, since 7 + 2 + 5 + 622 + 13 + 15 + 2 = 666.
It can be written as a sum of positive squares in 5 ways, for example, as 40947950736 + 31614262416 = 202356^2 + 177804^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=190476.
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (50400) is a multiple of the sum of its prime factors (144).
It is not an unprimeable number, because it can be changed into a prime (72562213153) 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, 1961140878 + ... + 1961140914.
Almost surely, 272562213152 is an apocalyptic number.
72562213152 is a gapful number since it is divisible by the number (72) 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 72562213152
72562213152 is an abundant number, since it is smaller than the sum of its proper divisors (188487216027).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
72562213152 is a wasteful number, since it uses less digits than its factorization.
72562213152 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 144 (or 66 counting only the distinct ones).
The product of its digits is 50400, while the sum is 36.
Adding to 72562213152 its reverse (25131226527), we get a palindrome (97693439679).
The spelling of 72562213152 in words is "seventy-two billion, five hundred sixty-two million, two hundred thirteen thousand, one hundred fifty-two".
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