Base | Representation |
---|---|
bin | 11000010100000100… |
… | …001100110010010000 |
3 | 2111101101220000120000 |
4 | 120110010030302100 |
5 | 411431222332130 |
6 | 15554303450000 |
7 | 1612641104220 |
oct | 302404146220 |
9 | 74341800500 |
10 | 26106449040 |
11 | 10087456621 |
12 | 5086bb6900 |
13 | 26008346a9 |
14 | 13992c4080 |
15 | a2bdce260 |
hex | 61410cc90 |
26106449040 has 400 divisors, whose sum is σ = 103969797888. Its totient is φ = 5947333632.
The previous prime is 26106449029. The next prime is 26106449051. The reversal of 26106449040 is 4094460162.
26106449040 is a `hidden beast` number, since 2 + 6 + 1 + 0 + 644 + 9 + 0 + 4 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (26106449029) and next prime (26106449051).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 26106448986 and 26106449004.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16918509 + ... + 16920051.
Almost surely, 226106449040 is an apocalyptic number.
26106449040 is a gapful number since it is divisible by the number (20) 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 26106449040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51984898944).
26106449040 is an abundant number, since it is smaller than the sum of its proper divisors (77863348848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
26106449040 is a wasteful number, since it uses less digits than its factorization.
26106449040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1948 (or 1933 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The spelling of 26106449040 in words is "twenty-six billion, one hundred six million, four hundred forty-nine thousand, forty".
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