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10008848343 = 313256637137
BaseRepresentation
bin10010101001001001…
…01110011111010111
3221211112102011202210
421110210232133113
5130444231121333
64333100204503
7503012543604
oct112444563727
927745364683
1010008848343
11427680899a
121b33b39733
13c36797a90
146ad3c76ab
153d8a59a63
hex25492e7d7

10008848343 has 8 divisors (see below), whose sum is σ = 14371679728. Its totient is φ = 6159291264.

The previous prime is 10008848309. The next prime is 10008848359. The reversal of 10008848343 is 34384880001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10008848343 - 26 = 10008848279 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 256637137 = 10008848343 / (1 + 0 + 0 + 0 + 8 + 8 + 4 + 8 + 3 + 4 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10008848543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128318530 + ... + 128318607.

It is an arithmetic number, because the mean of its divisors is an integer number (1796459966).

Almost surely, 210008848343 is an apocalyptic number.

10008848343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10008848343 is a deficient number, since it is larger than the sum of its proper divisors (4362831385).

10008848343 is a wasteful number, since it uses less digits than its factorization.

10008848343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256637153.

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 10008848343 in words is "ten billion, eight million, eight hundred forty-eight thousand, three hundred forty-three".

Divisors: 1 3 13 39 256637137 769911411 3336282781 10008848343