Search a number
-
+
13064239360 = 28543972447
BaseRepresentation
bin11000010101011000…
…00111100100000000
31020201110200010022001
430022230013210000
5203223421124420
610000203553344
7641513126254
oct141254074400
936643603261
1013064239360
1155a4471437
12264722b854
1313027a4463
148bd0cc264
15516de0b0a
hex30ab07900

13064239360 has 144 divisors (see below), whose sum is σ = 32364009216. Its totient is φ = 5049483264.

The previous prime is 13064239337. The next prime is 13064239367. The reversal of 13064239360 is 6393246031.

It is not an unprimeable number, because it can be changed into a prime (13064239367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5337657 + ... + 5340103.

It is an arithmetic number, because the mean of its divisors is an integer number (224750064).

Almost surely, 213064239360 is an apocalyptic number.

13064239360 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 13064239360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16182004608).

13064239360 is an abundant number, since it is smaller than the sum of its proper divisors (19299769856).

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

13064239360 is an equidigital number, since it uses as much as digits as its factorization.

13064239360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2594 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 37.

The spelling of 13064239360 in words is "thirteen billion, sixty-four million, two hundred thirty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 97 128 160 172 194 215 256 320 344 388 430 485 640 688 776 860 970 1280 1376 1552 1720 1940 2447 2752 3104 3440 3880 4171 4894 5504 6208 6880 7760 8342 9788 11008 12235 12416 13760 15520 16684 19576 20855 24470 24832 27520 31040 33368 39152 41710 48940 55040 62080 66736 78304 83420 97880 105221 124160 133472 156608 166840 195760 210442 237359 266944 313216 333680 391520 420884 474718 526105 533888 626432 667360 783040 841768 949436 1052210 1067776 1186795 1334720 1566080 1683536 1898872 2104420 2373590 2669440 3132160 3367072 3797744 4208840 4747180 5338880 6734144 7595488 8417680 9494360 10206437 13468288 15190976 16835360 18988720 20412874 26936576 30381952 33670720 37977440 40825748 51032185 60763904 67341440 75954880 81651496 102064370 134682880 151909760 163302992 204128740 303819520 326605984 408257480 653211968 816514960 1306423936 1633029920 2612847872 3266059840 6532119680 13064239360