| Base | Representation |
|---|---|
| bin | 11100100010100100010… |
| … | …110100101100000000000 |
| 3 | 20221111100202100111100000 |
| 4 | 130202210112211200000 |
| 5 | 224113131143034133 |
| 6 | 4100554101200000 |
| 7 | 261460624641150 |
| oct | 34424426454000 |
| 9 | 6844322314300 |
| 10 | 1961262471168 |
| 11 | 696848598050 |
| 12 | 278132a00000 |
| 13 | 112c3bc09c90 |
| 14 | 6acd5c34760 |
| 15 | 3603c271413 |
| hex | 1c8a45a5800 |
1961262471168 has 2304 divisors, whose sum is σ = 8205678673920. Its totient is φ = 451480780800.
The previous prime is 1961262471163. The next prime is 1961262471187. The reversal of 1961262471168 is 8611742621691.
1961262471168 is a `hidden beast` number, since 1 + 9 + 6 + 1 + 2 + 6 + 2 + 471 + 168 = 666.
It is a tau number, because it is divible by the number of its divisors (2304).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1961262471163) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15443011521 + ... + 15443011647.
It is an arithmetic number, because the mean of its divisors is an integer number (3561492480).
Almost surely, 21961262471168 is an apocalyptic number.
1961262471168 is a gapful number since it is divisible by the number (18) 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 1961262471168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4102839336960).
1961262471168 is an abundant number, since it is smaller than the sum of its proper divisors (6244416202752).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1961262471168 is a wasteful number, since it uses less digits than its factorization.
1961262471168 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 226 (or 194 counting only the distinct ones).
The product of its digits is 1741824, while the sum is 54.
The spelling of 1961262471168 in words is "one trillion, nine hundred sixty-one billion, two hundred sixty-two million, four hundred seventy-one thousand, one hundred sixty-eight".
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