| Base | Representation |
|---|---|
| bin | 111110001010101101111… |
| … | …110100110001000000000 |
| 3 | 120010102002010122001000000 |
| 4 | 332022231332212020000 |
| 5 | 1024443243242002210 |
| 6 | 13030325544000000 |
| 7 | 620436011621451 |
| oct | 76125576461000 |
| 9 | 16112063561000 |
| 10 | 4272116359680 |
| 11 | 13a7881347224 |
| 12 | 58bb6b160000 |
| 13 | 24cb21b5a590 |
| 14 | 10aab3141128 |
| 15 | 761da739ac0 |
| hex | 3e2adfa6200 |
4272116359680 has 560 divisors, whose sum is σ = 16539020106840. Its totient is φ = 1051591901184.
The previous prime is 4272116359613. The next prime is 4272116359751. The reversal of 4272116359680 is 869536112724.
It is a happy number.
4272116359680 is a `hidden beast` number, since 4 + 27 + 21 + 1 + 6 + 3 + 596 + 8 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 1197396193536 + 3074720166144 = 1094256^2 + 1753488^2 .
It is a super-4 number, since 4×42721163596804 (a number of 52 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24173076 + ... + 24349164.
It is a 2-persistent number, because it is pandigital, and so is 2⋅4272116359680 = 8544232719360, but 3⋅4272116359680 = 12816349079040 is not.
Almost surely, 24272116359680 is an apocalyptic number.
4272116359680 is a gapful number since it is divisible by the number (40) 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 4272116359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8269510053420).
4272116359680 is an abundant number, since it is smaller than the sum of its proper divisors (12266903747160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4272116359680 is an equidigital number, since it uses as much as digits as its factorization.
4272116359680 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 176143 (or 176112 counting only the distinct ones).
The product of its (nonzero) digits is 4354560, while the sum is 54.
The spelling of 4272116359680 in words is "four trillion, two hundred seventy-two billion, one hundred sixteen million, three hundred fifty-nine thousand, six hundred eighty".
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