Search a number
-
+
12790648380 = 22351914097963
BaseRepresentation
bin10111110100110000…
…11100111000111100
31020000101212021000210
423322120130320330
5202143401222010
65513111552420
7631651501026
oct137230347074
936011767023
1012790648380
115473a95494
12258b68b710
13128abc1cc3
14894a31016
154ecd9bb20
hex2fa61ce3c

12790648380 has 96 divisors (see below), whose sum is σ = 37730246400. Its totient is φ = 3228622848.

The previous prime is 12790648369. The next prime is 12790648397. The reversal of 12790648380 is 8384609721.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1602279 + ... + 1610241.

It is an arithmetic number, because the mean of its divisors is an integer number (393023400).

Almost surely, 212790648380 is an apocalyptic number.

12790648380 is a gapful number since it is divisible by the number (10) 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 12790648380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18865123200).

12790648380 is an abundant number, since it is smaller than the sum of its proper divisors (24939598020).

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

12790648380 is a wasteful number, since it uses less digits than its factorization.

12790648380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9403 (or 9401 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 12790648380 in words is "twelve billion, seven hundred ninety million, six hundred forty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1409 2818 4227 5636 7045 7963 8454 14090 15926 16908 21135 23889 26771 28180 31852 39815 42270 47778 53542 79630 80313 84540 95556 107084 119445 133855 151297 159260 160626 238890 267710 302594 321252 401565 453891 477780 535420 605188 756485 803130 907782 1512970 1606260 1815564 2269455 3025940 4538910 9077820 11219867 22439734 33659601 44879468 56099335 67319202 112198670 134638404 168298005 213177473 224397340 336596010 426354946 639532419 673192020 852709892 1065887365 1279064838 2131774730 2558129676 3197662095 4263549460 6395324190 12790648380