| Base | Representation |
|---|---|
| bin | 1101101000000000001… |
| … | …11010011111010111000 |
| 3 | 1122202101102010100212000 |
| 4 | 12310000013103322320 |
| 5 | 30132234224224424 |
| 6 | 555022223021000 |
| 7 | 45552163555602 |
| oct | 6640007237270 |
| 9 | 1582342110760 |
| 10 | 468153351864 |
| 11 | 1705a73a9390 |
| 12 | 7689373a760 |
| 13 | 351ba312093 |
| 14 | 1893183c172 |
| 15 | c29ed393c9 |
| hex | 6d001d3eb8 |
468153351864 has 128 divisors (see below), whose sum is σ = 1419296256000. Its totient is φ = 141799680000.
The previous prime is 468153351863. The next prime is 468153351889.
It is a happy number.
468153351864 is a `hidden beast` number, since 4 + 68 + 1 + 5 + 3 + 3 + 518 + 64 = 666.
468153351864 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×4681533518642 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 468153351864.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (468153351863) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5275864 + ... + 5363864.
It is an arithmetic number, because the mean of its divisors is an integer number (11088252000).
Almost surely, 2468153351864 is an apocalyptic number.
468153351864 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 468153351864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709648128000).
468153351864 is an abundant number, since it is smaller than the sum of its proper divisors (951142904136).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
468153351864 is a wasteful number, since it uses less digits than its factorization.
468153351864 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 90266 (or 90256 counting only the distinct ones).
The product of its digits is 8294400, while the sum is 54.
The spelling of 468153351864 in words is "four hundred sixty-eight billion, one hundred fifty-three million, three hundred fifty-one thousand, eight hundred sixty-four".
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