| Base | Representation |
|---|---|
| bin | 110100011010111011111000… |
| … | …0101100010010111000000000 |
| 3 | 2020110121121201010000000202000 |
| 4 | 1220311313300230102320000 |
| 5 | 440414120412041441120 |
| 6 | 4312401514522024000 |
| 7 | 166060202104101000 |
| oct | 15065676054227000 |
| 9 | 2213547633000660 |
| 10 | 461098842140160 |
| 11 | 123a13a14625534 |
| 12 | 43870065348000 |
| 13 | 16a39585045a33 |
| 14 | 81c1435768000 |
| 15 | 384938bbbc990 |
| hex | 1a35df0b12e00 |
461098842140160 has 2560 divisors, whose sum is σ = 2024184729600000. Its totient is φ = 99171097804800.
The previous prime is 461098842140147. The next prime is 461098842140231. The reversal of 461098842140160 is 61041248890164.
461098842140160 is a `hidden beast` number, since 4 + 6 + 10 + 9 + 8 + 8 + 421 + 40 + 160 = 666.
It is a tau number, because it is divible by the number of its divisors (2560).
It is a super-2 number, since 2×4610988421401602 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 461098842140097 and 461098842140106.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 68018707651 + ... + 68018714429.
It is an arithmetic number, because the mean of its divisors is an integer number (790697160000).
Almost surely, 2461098842140160 is an apocalyptic number.
461098842140160 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 461098842140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012092364800000).
461098842140160 is an abundant number, since it is smaller than the sum of its proper divisors (1563085887459840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
461098842140160 is a wasteful number, since it uses less digits than its factorization.
461098842140160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7002 (or 6966 counting only the distinct ones).
The product of its (nonzero) digits is 2654208, while the sum is 54.
The spelling of 461098842140160 in words is "four hundred sixty-one trillion, ninety-eight billion, eight hundred forty-two million, one hundred forty thousand, one hundred sixty".
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