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13710912336 = 2433114170373
BaseRepresentation
bin11001100010011101…
…11110101101010000
31022101112111111212000
430301032332231100
5211034443143321
610144304234000
7663524555232
oct146116765520
938345444760
1013710912336
1158a64a8410
1227a790b900
1313a6761ca4
14940d44252
15553a7c826
hex3313beb50

13710912336 has 160 divisors (see below), whose sum is σ = 43980935040. Its totient is φ = 4053427200.

The previous prime is 13710912331. The next prime is 13710912353. The reversal of 13710912336 is 63321901731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13710912336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13710912331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159646 + ... + 230018.

It is an arithmetic number, because the mean of its divisors is an integer number (274880844).

Almost surely, 213710912336 is an apocalyptic number.

13710912336 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 13710912336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21990467520).

13710912336 is an abundant number, since it is smaller than the sum of its proper divisors (30270022704).

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

13710912336 is a wasteful number, since it uses less digits than its factorization.

13710912336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70442 (or 70430 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 13710912336 in words is "thirteen billion, seven hundred ten million, nine hundred twelve thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 41 44 48 54 66 72 82 88 99 108 123 132 144 164 176 198 216 246 264 297 328 369 396 432 451 492 528 594 656 738 792 902 984 1107 1188 1353 1476 1584 1804 1968 2214 2376 2706 2952 3608 4059 4428 4752 5412 5904 7216 8118 8856 10824 12177 16236 17712 21648 24354 32472 48708 64944 70373 97416 140746 194832 211119 281492 422238 562984 633357 774103 844476 1125968 1266714 1548206 1688952 1900071 2322309 2533428 2885293 3096412 3377904 3800142 4644618 5066856 5770586 6192824 6966927 7600284 8655879 9289236 10133712 11541172 12385648 13933854 15200568 17311758 18578472 20900781 23082344 25967637 27867708 30401136 31738223 34623516 37156944 41801562 46164688 51935274 55735416 63476446 69247032 77902911 83603124 95214669 103870548 111470832 126952892 138494064 155805822 167206248 190429338 207741096 253905784 285644007 311611644 334412496 380858676 415482192 507811568 571288014 623223288 761717352 856932021 1142576028 1246446576 1523434704 1713864042 2285152056 3427728084 4570304112 6855456168 13710912336