Search a number
-
+
13011390680 = 2353165316069
BaseRepresentation
bin11000001111000101…
…00001000011011000
31020120210020010112112
430013202201003120
5203121404000210
65551035131452
7640301665421
oct140742410330
936523203475
1013011390680
115577655442
1226315a3b88
1312c485c552
148b6092648
15512451d05
hex3078a10d8

13011390680 has 64 divisors (see below), whose sum is σ = 30268166400. Its totient is φ = 5028641280.

The previous prime is 13011390677. The next prime is 13011390737. The reversal of 13011390680 is 8609311031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 801686 + ... + 817754.

It is an arithmetic number, because the mean of its divisors is an integer number (472940100).

Almost surely, 213011390680 is an apocalyptic number.

13011390680 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 13011390680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15134083200).

13011390680 is an abundant number, since it is smaller than the sum of its proper divisors (17256775720).

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

13011390680 is a wasteful number, since it uses less digits than its factorization.

13011390680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16764 (or 16760 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 13011390680 in words is "thirteen billion, eleven million, three hundred ninety thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 653 1240 1306 2612 3265 5224 6530 13060 16069 20243 26120 32138 40486 64276 80345 80972 101215 128552 160690 161944 202430 321380 404860 498139 642760 809720 996278 1992556 2490695 3985112 4981390 9962780 10493057 19925560 20986114 41972228 52465285 83944456 104930570 209861140 325284767 419722280 650569534 1301139068 1626423835 2602278136 3252847670 6505695340 13011390680