| Base | Representation |
|---|---|
| bin | 1111101001000100001010… |
| … | …00111100101010100000000 |
| 3 | 11111210020221110221220000000 |
| 4 | 13310202011013211110000 |
| 5 | 14002022141323321221 |
| 6 | 201053242340000000 |
| 7 | 10150024105303041 |
| oct | 764420507452400 |
| 9 | 144706843856000 |
| 10 | 34396331463936 |
| 11 | aa61447445632 |
| 12 | 3a362a5990000 |
| 13 | 162673881a800 |
| 14 | 86cb1157c8c8 |
| 15 | 3e9ada57de26 |
| hex | 1f48851e5500 |
34396331463936 has 1728 divisors, whose sum is σ = 119916283334400. Its totient is φ = 9837282484224.
The previous prime is 34396331463913. The next prime is 34396331463937. The reversal of 34396331463936 is 63936413369343.
34396331463936 is a `hidden beast` number, since 3 + 43 + 9 + 63 + 3 + 146 + 393 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (1728).
It is a super-2 number, since 2×343963314639362 (a number of 28 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (34396331463937) 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, 648987386086 + ... + 648987386138.
It is an arithmetic number, because the mean of its divisors is an integer number (69395997300).
Almost surely, 234396331463936 is an apocalyptic number.
34396331463936 is a gapful number since it is divisible by the number (36) 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 34396331463936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59958141667200).
34396331463936 is an abundant number, since it is smaller than the sum of its proper divisors (85519951870464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
34396331463936 is an frugal number, since it uses more digits than its factorization.
34396331463936 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 173 (or 90 counting only the distinct ones).
The product of its digits is 204073344, while the sum is 63.
The spelling of 34396331463936 in words is "thirty-four trillion, three hundred ninety-six billion, three hundred thirty-one million, four hundred sixty-three thousand, nine hundred thirty-six".
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