Search a number
-
+
14681742592 = 281150910243
BaseRepresentation
bin11011010110001100…
…11001110100000000
31101220012021210121011
431223012121310000
5220032011230332
610424504410304
71026553516156
oct155306316400
941805253534
1014681742592
116254508570
122a18a76994
1314cc92806a
149d3c5b3d6
155addeae47
hex36b199d00

14681742592 has 72 divisors (see below), whose sum is σ = 32036266080. Its totient is φ = 6659758080.

The previous prime is 14681742557. The next prime is 14681742611. The reversal of 14681742592 is 29524718641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1428223 + ... + 1438465.

It is an arithmetic number, because the mean of its divisors is an integer number (444948140).

Almost surely, 214681742592 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 14681742592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16018133040).

14681742592 is an abundant number, since it is smaller than the sum of its proper divisors (17354523488).

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

14681742592 is a wasteful number, since it uses less digits than its factorization.

14681742592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10779 (or 10765 counting only the distinct ones).

The product of its digits is 967680, while the sum is 49.

The spelling of 14681742592 in words is "fourteen billion, six hundred eighty-one million, seven hundred forty-two thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 509 704 1018 1408 2036 2816 4072 5599 8144 10243 11198 16288 20486 22396 32576 40972 44792 65152 81944 89584 112673 130304 163888 179168 225346 327776 358336 450692 655552 716672 901384 1311104 1433344 1802768 2622208 3605536 5213687 7211072 10427374 14422144 20854748 28844288 41709496 57350557 83418992 114701114 166837984 229402228 333675968 458804456 667351936 917608912 1334703872 1835217824 3670435648 7340871296 14681742592