Search a number
-
+
10749903424 = 261345881
BaseRepresentation
bin10100000001011111…
…01000001001000000
31000202011211200020021
422000233220021000
5134003433402144
64534411423224
7530251446211
oct120057501100
930664750207
1010749903424
114617049607
122100154b14
131024180000
1473d9ab408
1542db3b884
hex280be8240

10749903424 has 70 divisors (see below), whose sum is σ = 23113360174. Its totient is φ = 4960650240.

The previous prime is 10749903419. The next prime is 10749903473. The reversal of 10749903424 is 42430994701.

It can be written as a sum of positive squares in 5 ways, for example, as 7527297600 + 3222605824 = 86760^2 + 56768^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1824964 + ... + 1830844.

Almost surely, 210749903424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10749903424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11556680087).

10749903424 is an abundant number, since it is smaller than the sum of its proper divisors (12363456750).

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

10749903424 is an frugal number, since it uses more digits than its factorization.

10749903424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5945 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 10749903424 in words is "ten billion, seven hundred forty-nine million, nine hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2197 2704 4394 5408 5881 8788 10816 11762 17576 23524 28561 35152 47048 57122 70304 76453 94096 114244 140608 152906 188192 228488 305812 376384 456976 611624 913952 993889 1223248 1827904 1987778 2446496 3975556 4892992 7951112 12920557 15902224 25841114 31804448 51682228 63608896 103364456 167967241 206728912 335934482 413457824 671868964 826915648 1343737928 2687475856 5374951712 10749903424