| Base | Representation |
|---|---|
| bin | 10101000010001001110010… |
| … | …11011111011111011000000 |
| 3 | 20001202210021121021120120020 |
| 4 | 22201010321123323323000 |
| 5 | 22030304044401412024 |
| 6 | 242212314340413440 |
| 7 | 12512463005521014 |
| oct | 1241047133737300 |
| 9 | 201683247246506 |
| 10 | 46253466435264 |
| 11 | 13812a91a82900 |
| 12 | 52302943a7280 |
| 13 | 1ca68b5c0036a |
| 14 | b5c97321c544 |
| 15 | 55325ae9a979 |
| hex | 2a11396fbec0 |
46253466435264 has 336 divisors, whose sum is σ = 135600338302464. Its totient is φ = 13903640340480.
The previous prime is 46253466435257. The next prime is 46253466435271.
46253466435264 is nontrivially palindromic in base 10.
46253466435264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (46253466435257) and next prime (46253466435271).
It is a junction number, because it is equal to n+sod(n) for n = 46253466435198 and 46253466435207.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1460789097 + ... + 1460820759.
It is an arithmetic number, because the mean of its divisors is an integer number (403572435424).
Almost surely, 246253466435264 is an apocalyptic number.
46253466435264 is a gapful number since it is divisible by the number (44) 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 46253466435264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67800169151232).
46253466435264 is an abundant number, since it is smaller than the sum of its proper divisors (89346871867200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46253466435264 is a wasteful number, since it uses less digits than its factorization.
46253466435264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 32204 (or 32183 counting only the distinct ones).
The product of its digits is 298598400, while the sum is 60.
The spelling of 46253466435264 in words is "forty-six trillion, two hundred fifty-three billion, four hundred sixty-six million, four hundred thirty-five thousand, two hundred sixty-four".
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