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13026682416 = 24311193313923
BaseRepresentation
bin11000010000111001…
…10110011000110000
31020121212000000212010
430020130312120300
5203134312314131
65552343002520
7640545654636
oct141034663060
936555000763
1013026682416
11558524a340
122636739440
1312c7a84907
148b8113356
15513972b46
hex308736630

13026682416 has 160 divisors (see below), whose sum is σ = 38770375680. Its totient is φ = 3727468800.

The previous prime is 13026682387. The next prime is 13026682441. The reversal of 13026682416 is 61428662031.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3318631 + ... + 3322553.

It is an arithmetic number, because the mean of its divisors is an integer number (242314848).

Almost surely, 213026682416 is an apocalyptic number.

13026682416 is a gapful number since it is divisible by the number (16) 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 13026682416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19385187840).

13026682416 is an abundant number, since it is smaller than the sum of its proper divisors (25743693264).

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

13026682416 is a wasteful number, since it uses less digits than its factorization.

13026682416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4295 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 13026682416 in words is "thirteen billion, twenty-six million, six hundred eighty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 304 331 418 456 528 627 662 836 912 993 1254 1324 1672 1986 2508 2648 3344 3641 3923 3972 5016 5296 6289 7282 7846 7944 10032 10923 11769 12578 14564 15692 15888 18867 21846 23538 25156 29128 31384 37734 43153 43692 47076 50312 58256 62768 69179 74537 75468 86306 87384 94152 100624 129459 138358 149074 150936 172612 174768 188304 207537 223611 258918 276716 298148 301872 345224 415074 447222 517836 553432 596296 690448 819907 830148 894444 1035672 1106864 1192592 1298513 1639814 1660296 1788888 2071344 2459721 2597026 3279628 3320592 3577776 3895539 4919442 5194052 6559256 7791078 9838884 10388104 13118512 14283643 15582156 19677768 20776208 24671747 28567286 31164312 39355536 42850929 49343494 57134572 62328624 74015241 85701858 98686988 114269144 148030482 171403716 197373976 228538288 271389217 296060964 342807432 394747952 542778434 592121928 685614864 814167651 1085556868 1184243856 1628335302 2171113736 3256670604 4342227472 6513341208 13026682416