Base | Representation |
---|---|
bin | 10011011010000100… |
… | …01110011101010100 |
3 | 222220010121221221102 |
4 | 21231002032131110 |
5 | 132314311002034 |
6 | 4441520205232 |
7 | 516125014250 |
oct | 115502163524 |
9 | 28803557842 |
10 | 10419234644 |
11 | 4467428225 |
12 | 2029469818 |
13 | ca0804a00 |
14 | 70bad3260 |
15 | 40eac097e |
hex | 26d08e754 |
10419234644 has 72 divisors (see below), whose sum is σ = 22627584000. Its totient is φ = 4110417792.
The previous prime is 10419234629. The next prime is 10419234671. The reversal of 10419234644 is 44643291401.
It is a junction number, because it is equal to n+sod(n) for n = 10419234598 and 10419234607.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1809482 + ... + 1815230.
It is an arithmetic number, because the mean of its divisors is an integer number (314272000).
Almost surely, 210419234644 is an apocalyptic number.
10419234644 is a gapful number since it is divisible by the number (14) 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 10419234644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11313792000).
10419234644 is an abundant number, since it is smaller than the sum of its proper divisors (12208349356).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10419234644 is a wasteful number, since it uses less digits than its factorization.
10419234644 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6169 (or 6154 counting only the distinct ones).
The product of its (nonzero) digits is 82944, while the sum is 38.
The spelling of 10419234644 in words is "ten billion, four hundred nineteen million, two hundred thirty-four thousand, six hundred forty-four".
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