| Base | Representation |
|---|---|
| bin | 11110110100001111… |
| … | …10101110111100001 |
| 3 | 1120201000012010100100 |
| 4 | 33122013311313201 |
| 5 | 232340331000000 |
| 6 | 11333403413013 |
| 7 | 1123662000000 |
| oct | 173207656741 |
| 9 | 46630163310 |
| 10 | 16544390625 |
| 11 | 701a971604 |
| 12 | 3258824169 |
| 13 | 17387b1469 |
| 14 | b2d3a0c37 |
| 15 | 66c6cba00 |
| hex | 3da1f5de1 |
16544390625 has 147 divisors (see below), whose sum is σ = 34849964071. Its totient is φ = 7563150000.
The previous prime is 16544390623. The next prime is 16544390647. The reversal of 16544390625 is 52609344561.
The square root of 16544390625 is 128625.
It is a perfect power (a square), and thus also a powerful number.
16544390625 is a `hidden beast` number, since 1 + 65 + 443 + 90 + 62 + 5 = 666.
It can be written as a sum of positive squares in 3 ways, for example, as 14494474449 + 2049916176 = 120393^2 + 45276^2 .
It is a tau number, because it is divible by the number of its divisors (147).
It is not a de Polignac number, because 16544390625 - 21 = 16544390623 is a prime.
It is a super-2 number, since 2×165443906252 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (16544390623) by changing a digit.
It is a polite number, since it can be written in 146 ways as a sum of consecutive naturals, for example, 2363484372 + ... + 2363484378.
Almost surely, 216544390625 is an apocalyptic number.
16544390625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
16544390625 is the 128625-th square number.
16544390625 is the 64313-rd centered octagonal number.
It is an amenable number.
16544390625 is an abundant number, since it is smaller than the sum of its proper divisors (18305573446).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
16544390625 is an frugal number, since it uses more digits than its factorization.
16544390625 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 78 (or 15 counting only the distinct ones).
The product of its (nonzero) digits is 777600, while the sum is 45.
The spelling of 16544390625 in words is "sixteen billion, five hundred forty-four million, three hundred ninety thousand, six hundred twenty-five".
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