Search a number
-
+
10343667824 = 2472331129529
BaseRepresentation
bin10011010001000011…
…11101100001110000
3222200212102202202022
421220201331201300
5132140434332244
64430220411012
7514216503650
oct115041754160
928625382668
1010343667824
114428804806
1220080a6a68
13c8ac67409
14701a62360
154081456ee
hex26887d870

10343667824 has 80 divisors (see below), whose sum is σ = 24670801920. Its totient is φ = 4103447040.

The previous prime is 10343667787. The next prime is 10343667857. The reversal of 10343667824 is 42876634301.

It is a congruent number.

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, 15092 + ... + 144620.

It is an arithmetic number, because the mean of its divisors is an integer number (308385024).

Almost surely, 210343667824 is an apocalyptic number.

10343667824 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 10343667824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12335400960).

10343667824 is an abundant number, since it is smaller than the sum of its proper divisors (14327134096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10343667824 is a wasteful number, since it uses less digits than its factorization.

10343667824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129598 (or 129592 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 10343667824 in words is "ten billion, three hundred forty-three million, six hundred sixty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 31 46 56 62 92 112 124 161 184 217 248 322 368 434 496 644 713 868 1288 1426 1736 2576 2852 3472 4991 5704 9982 11408 19964 39928 79856 129529 259058 518116 906703 1036232 1813406 2072464 2979167 3626812 4015399 5958334 7253624 8030798 11916668 14507248 16061596 20854169 23833336 28107793 32123192 41708338 47666672 56215586 64246384 83416676 92354177 112431172 166833352 184708354 224862344 333666704 369416708 449724688 646479239 738833416 1292958478 1477666832 2585916956 5171833912 10343667824