Base | Representation |
---|---|
bin | 10011000111101010… |
… | …10100110110010010 |
3 | 222111101010211000000 |
4 | 21203311110312102 |
5 | 132010300424002 |
6 | 4414323310430 |
7 | 512241565500 |
oct | 114365246622 |
9 | 28441124000 |
10 | 10264858002 |
11 | 4398276823 |
12 | 1ba581b416 |
13 | c77832999 |
14 | 6d53c9670 |
15 | 40127961c |
hex | 263d54d92 |
10264858002 has 168 divisors, whose sum is σ = 28026478656. Its totient is φ = 2804853744.
The previous prime is 10264858001. The next prime is 10264858013. The reversal of 10264858002 is 20085846201.
10264858002 is a `hidden beast` number, since 1 + 0 + 2 + 648 + 5 + 8 + 0 + 0 + 2 = 666.
10264858002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (10264858001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1640043 + ... + 1646289.
Almost surely, 210264858002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10264858002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14013239328).
10264858002 is an abundant number, since it is smaller than the sum of its proper divisors (17761620654).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10264858002 is an equidigital number, since it uses as much as digits as its factorization.
10264858002 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6304 (or 6282 counting only the distinct ones).
The product of its (nonzero) digits is 30720, while the sum is 36.
The spelling of 10264858002 in words is "ten billion, two hundred sixty-four million, eight hundred fifty-eight thousand, two".
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