| Base | Representation |
|---|---|
| bin | 110100011010001110010001… |
| … | …0100010000000000000000000 |
| 3 | 2020110021020212221101201200000 |
| 4 | 1220310130202202000000000 |
| 5 | 440411014312334220100 |
| 6 | 4312244515334400000 |
| 7 | 166050133624103520 |
| oct | 15064344242000000 |
| 9 | 2213236787351600 |
| 10 | 461000894054400 |
| 11 | 123986421474a27 |
| 12 | 4385508a800000 |
| 13 | 16a3027568913b |
| 14 | 81ba7c3037680 |
| 15 | 3846a57b9c900 |
| hex | 1a34722880000 |
461000894054400 has 5760 divisors, whose sum is σ = 2180896413696000. Its totient is φ = 94175546572800.
The previous prime is 461000894054333. The next prime is 461000894054419. The reversal of 461000894054400 is 4450498000164.
461000894054400 is a `hidden beast` number, since 4 + 6 + 10 + 0 + 0 + 8 + 94 + 0 + 544 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (5760).
It is a super-2 number, since 2×4610008940544002 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14870996582385 + ... + 14870996582415.
It is an arithmetic number, because the mean of its divisors is an integer number (378627849600).
Almost surely, 2461000894054400 is an apocalyptic number.
461000894054400 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 461000894054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090448206848000).
461000894054400 is an abundant number, since it is smaller than the sum of its proper divisors (1719895519641600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
461000894054400 is an frugal number, since it uses more digits than its factorization.
461000894054400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 153 (or 100 counting only the distinct ones).
The product of its (nonzero) digits is 552960, while the sum is 45.
The spelling of 461000894054400 in words is "four hundred sixty-one trillion, eight hundred ninety-four million, fifty-four thousand, four hundred".
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