Base | Representation |
---|---|
bin | 10011000101011101… |
… | …01011011100100000 |
3 | 222110002021220210110 |
4 | 21202232223130200 |
5 | 131441030311321 |
6 | 4412422331320 |
7 | 511625303343 |
oct | 114256533440 |
9 | 28402256713 |
10 | 10246338336 |
11 | 4388877713 |
12 | 1b9b589b40 |
13 | c73a4a2c0 |
14 | 6d2b6845a |
15 | 3ee81c176 |
hex | 262bab720 |
10246338336 has 96 divisors (see below), whose sum is σ = 29231737920. Its totient is φ = 3123753984.
The previous prime is 10246338329. The next prime is 10246338359. The reversal of 10246338336 is 63383364201.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (39).
It is a junction number, because it is equal to n+sod(n) for n = 10246338294 and 10246338303.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98371 + ... + 173693.
It is an arithmetic number, because the mean of its divisors is an integer number (304497270).
Almost surely, 210246338336 is an apocalyptic number.
10246338336 is a gapful number since it is divisible by the number (16) 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 10246338336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14615868960).
10246338336 is an abundant number, since it is smaller than the sum of its proper divisors (18985399584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10246338336 is a wasteful number, since it uses less digits than its factorization.
10246338336 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 75458 (or 75450 counting only the distinct ones).
The product of its (nonzero) digits is 186624, while the sum is 39.
The spelling of 10246338336 in words is "ten billion, two hundred forty-six million, three hundred thirty-eight thousand, three hundred thirty-six".
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