| Base | Representation |
|---|---|
| bin | 1100011101000001101… |
| … | …01011000111100000000 |
| 3 | 1111220111002112221110000 |
| 4 | 12032200311120330000 |
| 5 | 24002314412101030 |
| 6 | 524324040240000 |
| 7 | 42625522642200 |
| oct | 6164065307400 |
| 9 | 1456432487400 |
| 10 | 427900112640 |
| 11 | 155520504a30 |
| 12 | 6ab1aa70000 |
| 13 | 31473954930 |
| 14 | 169d3790400 |
| 15 | b1e5ecd860 |
| hex | 63a0d58f00 |
427900112640 has 4320 divisors, whose sum is σ = 2273639639040. Its totient is φ = 75246796800.
The previous prime is 427900112639. The next prime is 427900112641. The reversal of 427900112640 is 46211009724.
It is a happy number.
427900112640 is a `hidden beast` number, since 4 + 2 + 7 + 9 + 0 + 0 + 1 + 1 + 2 + 640 = 666.
It is an interprime number because it is at equal distance from previous prime (427900112639) and next prime (427900112641).
It is a tau number, because it is divible by the number of its divisors (4320).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 427900112595 and 427900112604.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (427900112641) by changing a digit.
It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 13803229425 + ... + 13803229455.
It is an arithmetic number, because the mean of its divisors is an integer number (526305472).
Almost surely, 2427900112640 is an apocalyptic number.
427900112640 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 427900112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136819819520).
427900112640 is an abundant number, since it is smaller than the sum of its proper divisors (1845739526400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
427900112640 is a wasteful number, since it uses less digits than its factorization.
427900112640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 121 (or 91 counting only the distinct ones).
The product of its (nonzero) digits is 24192, while the sum is 36.
The spelling of 427900112640 in words is "four hundred twenty-seven billion, nine hundred million, one hundred twelve thousand, six hundred forty".
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