Base | Representation |
---|---|
bin | 1010101000011001100100… |
… | …00011010110111110010000 |
3 | 10001202221121011212020111201 |
4 | 11110030302003112332100 |
5 | 11031012323230432311 |
6 | 121415510401120544 |
7 | 4632013140322021 |
oct | 524146203267620 |
9 | 101687534766451 |
10 | 23378346733456 |
11 | 74a3779293500 |
12 | 2756a69029154 |
13 | 10077513b1400 |
14 | 5ab737632c48 |
15 | 2a81d00359c1 |
hex | 1543320d6f90 |
23378346733456 has 405 divisors, whose sum is σ = 55118238302673. Its totient is φ = 9594417381120.
The previous prime is 23378346733433. The next prime is 23378346733463. The reversal of 23378346733456 is 65433764387332.
The square root of 23378346733456 is 4835116.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 3458335315600 + 19920011417856 = 1859660^2 + 4463184^2 .
It is an unprimeable number.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 218489221755 + ... + 218489221861.
Almost surely, 223378346733456 is an apocalyptic number.
23378346733456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.
23378346733456 is the 4835116-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23378346733456
23378346733456 is an abundant number, since it is smaller than the sum of its proper divisors (31739891569217).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23378346733456 is a wasteful number, since it uses less digits than its factorization.
23378346733456 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 428 (or 212 counting only the distinct ones).
The product of its digits is 548674560, while the sum is 64.
The spelling of 23378346733456 in words is "twenty-three trillion, three hundred seventy-eight billion, three hundred forty-six million, seven hundred thirty-three thousand, four hundred fifty-six".
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