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13643620760 = 235731190403
BaseRepresentation
bin11001011010011100…
…10010000110011000
31022012211212202011102
430231032102012120
5210420231331020
610133502050532
7662046602000
oct145516220630
938184782142
1013643620760
115871517240
122789279a48
1313958311a3
14936029000
1554cbd9475
hex32d392198

13643620760 has 128 divisors (see below), whose sum is σ = 39054528000. Its totient is φ = 4252510080.

The previous prime is 13643620733. The next prime is 13643620789. The reversal of 13643620760 is 6702634631.

It is a super-2 number, since 2×136436207602 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 105719 + ... + 196121.

It is an arithmetic number, because the mean of its divisors is an integer number (305113500).

Almost surely, 213643620760 is an apocalyptic number.

13643620760 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 13643620760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19527264000).

13643620760 is an abundant number, since it is smaller than the sum of its proper divisors (25410907240).

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

13643620760 is a wasteful number, since it uses less digits than its factorization.

13643620760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90446 (or 90428 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 38.

The spelling of 13643620760 in words is "thirteen billion, six hundred forty-three million, six hundred twenty thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 98 110 140 154 196 220 245 280 308 343 385 392 440 490 539 616 686 770 980 1078 1372 1540 1715 1960 2156 2695 2744 3080 3430 3773 4312 5390 6860 7546 10780 13720 15092 18865 21560 30184 37730 75460 90403 150920 180806 361612 452015 632821 723224 904030 994433 1265642 1808060 1988866 2531284 3164105 3616120 3977732 4429747 4972165 5062568 6328210 6961031 7955464 8859494 9944330 12656420 13922062 17718988 19888660 22148735 25312840 27844124 31008229 34805155 35437976 39777320 44297470 48727217 55688248 62016458 69610310 88594940 97454434 124032916 139220620 155041145 177189880 194908868 243636085 248065832 278441240 310082290 341090519 389817736 487272170 620164580 682181038 974544340 1240329160 1364362076 1705452595 1949088680 2728724152 3410905190 6821810380 13643620760