| Base | Representation |
|---|---|
| bin | 10000011110000001000110… |
| … | …000011101011010111000100 |
| 3 | 100111110101101001002100000000 |
| 4 | 100132001012003223113010 |
| 5 | 33443204204441131100 |
| 6 | 414014323513321300 |
| 7 | 21154001121236100 |
| oct | 2036010603532704 |
| 9 | 314411331070000 |
| 10 | 72431503848900 |
| 11 | 21096034701269 |
| 12 | 8159864106230 |
| 13 | 31553526b0601 |
| 14 | 13c59bc548900 |
| 15 | 85919a050900 |
| hex | 41e0460eb5c4 |
72431503848900 has 2187 divisors, whose sum is σ = 293146414954029. Its totient is φ = 15485878961280.
The previous prime is 72431503848889. The next prime is 72431503848917. The reversal of 72431503848900 is 984830513427.
It is a happy number.
The square root of 72431503848900 is 8510670.
It is a perfect power (a square), and thus also a powerful number.
72431503848900 is a `hidden beast` number, since 7 + 2 + 4 + 3 + 1 + 503 + 8 + 48 + 90 + 0 = 666.
It can be written as a sum of positive squares in only one way, i.e., 26075341385604 + 46356162463296 = 5106402^2 + 6808536^2 .
It is a tau number, because it is divible by the number of its divisors (2187).
It is a Harshad number since it is a multiple of its sum of digits (54).
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 728 ways as a sum of consecutive naturals, for example, 916854479061 + ... + 916854479139.
Almost surely, 272431503848900 is an apocalyptic number.
72431503848900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.
72431503848900 is the 8510670-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 72431503848900
72431503848900 is an abundant number, since it is smaller than the sum of its proper divisors (220714911105129).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
72431503848900 is an equidigital number, since it uses as much as digits as its factorization.
72431503848900 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 248 (or 115 counting only the distinct ones).
The product of its (nonzero) digits is 5806080, while the sum is 54.
The spelling of 72431503848900 in words is "seventy-two trillion, four hundred thirty-one billion, five hundred three million, eight hundred forty-eight thousand, nine hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.071 sec. • engine limits •