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13306249536 = 263315342181
BaseRepresentation
bin11000110010001110…
…10100000101000000
31021100100001111211220
430121013110011000
5204222344441121
610040211035040
7650512153266
oct143107240500
937310044756
1013306249536
115709038248
1226b429ba80
13134097a248
149032c8436
1552d2976c6
hex3191d4140

13306249536 has 112 divisors (see below), whose sum is σ = 37028371968. Its totient is φ = 4211251200.

The previous prime is 13306249529. The next prime is 13306249577. The reversal of 13306249536 is 63594260331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294366 + ... + 336546.

It is an arithmetic number, because the mean of its divisors is an integer number (330610464).

Almost surely, 213306249536 is an apocalyptic number.

13306249536 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 13306249536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18514185984).

13306249536 is an abundant number, since it is smaller than the sum of its proper divisors (23722122432).

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

13306249536 is a wasteful number, since it uses less digits than its factorization.

13306249536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42280 (or 42270 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The spelling of 13306249536 in words is "thirteen billion, three hundred six million, two hundred forty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 64 93 96 106 124 159 186 192 212 248 318 372 424 496 636 744 848 992 1272 1488 1643 1696 1984 2544 2976 3286 3392 4929 5088 5952 6572 9858 10176 13144 19716 26288 39432 42181 52576 78864 84362 105152 126543 157728 168724 253086 315456 337448 506172 674896 1012344 1307611 1349792 2024688 2235593 2615222 2699584 3922833 4049376 4471186 5230444 6706779 7845666 8098752 8942372 10460888 13413558 15691332 17884744 20921776 26827116 31382664 35769488 41843552 53654232 62765328 69303383 71538976 83687104 107308464 125530656 138606766 143077952 207910149 214616928 251061312 277213532 415820298 429233856 554427064 831640596 1108854128 1663281192 2217708256 3326562384 4435416512 6653124768 13306249536