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13269352720 = 245133174441
BaseRepresentation
bin11000101101110101…
…00100000100010000
31021020202121221221011
430112322210010100
5204133423241340
610032412140304
7646553431351
oct142672440420
937222557834
1013269352720
11569a227108
1226a3a67694
13133612c000
148dc441d28
15529e0a0ea
hex316ea4110

13269352720 has 160 divisors (see below), whose sum is σ = 35394922080. Its totient is φ = 4610211840.

The previous prime is 13269352711. The next prime is 13269352751. The reversal of 13269352720 is 2725396231.

It can be written as a sum of positive squares in 16 ways, for example, as 12644552704 + 624800016 = 112448^2 + 24996^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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 31 ways as a sum of consecutive naturals, for example, 2985700 + ... + 2990140.

It is an arithmetic number, because the mean of its divisors is an integer number (221218263).

Almost surely, 213269352720 is an apocalyptic number.

13269352720 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 13269352720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17697461040).

13269352720 is an abundant number, since it is smaller than the sum of its proper divisors (22125569360).

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

13269352720 is a wasteful number, since it uses less digits than its factorization.

13269352720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4510 (or 4478 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 40.

The spelling of 13269352720 in words is "thirteen billion, two hundred sixty-nine million, three hundred fifty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 169 170 208 221 260 272 338 340 442 520 676 680 845 884 1040 1105 1352 1360 1690 1768 2197 2210 2704 2873 3380 3536 4394 4420 4441 5746 6760 8788 8840 8882 10985 11492 13520 14365 17576 17680 17764 21970 22205 22984 28730 35152 35528 37349 43940 44410 45968 57460 57733 71056 74698 75497 87880 88820 114920 115466 149396 150994 175760 177640 186745 229840 230932 288665 298792 301988 355280 373490 377485 461864 577330 597584 603976 746980 750529 754970 923728 981461 1154660 1207952 1493960 1501058 1509940 1962922 2309320 2987920 3002116 3019880 3752645 3925844 4618640 4907305 6004232 6039760 7505290 7851688 9756877 9814610 12008464 12758993 15010580 15703376 19513754 19629220 25517986 30021160 39027508 39258440 48784385 51035972 60042320 63794965 78055016 78516880 97568770 102071944 127589930 156110032 165866909 195137540 204143888 255179860 331733818 390275080 510359720 663467636 780550160 829334545 1020719440 1326935272 1658669090 2653870544 3317338180 6634676360 13269352720