| Base | Representation |
|---|---|
| bin | 110010100111101111100… |
| … | …110101010100100000000 |
| 3 | 110022112222222201222221000 |
| 4 | 302213233212222210000 |
| 5 | 423443232444323041 |
| 6 | 11222022524332000 |
| 7 | 506216102543610 |
| oct | 62475746524400 |
| 9 | 13275888658830 |
| 10 | 3478648432896 |
| 11 | 112131739684a |
| 12 | 4822283a4000 |
| 13 | 1c305c2815b0 |
| 14 | c052052ca40 |
| 15 | 6074ab31bb6 |
| hex | 329ef9aa900 |
3478648432896 has 576 divisors, whose sum is σ = 12702317322240. Its totient is φ = 914444328960.
The previous prime is 3478648432891. The next prime is 3478648432939. The reversal of 3478648432896 is 6982348468743.
It is a happy number.
3478648432896 is a `hidden beast` number, since 3 + 4 + 78 + 6 + 48 + 432 + 89 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-2 number, since 2×34786484328962 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (3478648432891) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195607621 + ... + 195625403.
It is an arithmetic number, because the mean of its divisors is an integer number (22052634240).
Almost surely, 23478648432896 is an apocalyptic number.
3478648432896 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 3478648432896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6351158661120).
3478648432896 is an abundant number, since it is smaller than the sum of its proper divisors (9223668889344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3478648432896 is a wasteful number, since it uses less digits than its factorization.
3478648432896 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18139 (or 18119 counting only the distinct ones).
The product of its digits is 1337720832, while the sum is 72.
The spelling of 3478648432896 in words is "three trillion, four hundred seventy-eight billion, six hundred forty-eight million, four hundred thirty-two thousand, eight hundred ninety-six".
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