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13815323312 = 2471376911303
BaseRepresentation
bin11001101110111010…
…10001101010110000
31022122210222010210012
430313131101222300
5211243210321222
610202514154052
7666233211350
oct146735215260
938583863705
1013815323312
11594a43197a
122816882928
1313c228b42b
14950b62b60
1555cd041e2
hex337751ab0

13815323312 has 80 divisors (see below), whose sum is σ = 30882642432. Its totient is φ = 5864624640.

The previous prime is 13815323299. The next prime is 13815323317. The reversal of 13815323312 is 21332351831.

It is not an unprimeable number, because it can be changed into a prime (13815323317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10602053 + ... + 10603355.

Almost surely, 213815323312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13815323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15441321216).

13815323312 is an abundant number, since it is smaller than the sum of its proper divisors (17067319120).

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

13815323312 is a wasteful number, since it uses less digits than its factorization.

13815323312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2140 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The spelling of 13815323312 in words is "thirteen billion, eight hundred fifteen million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 137 274 548 691 959 1096 1303 1382 1918 2192 2606 2764 3836 4837 5212 5528 7672 9121 9674 10424 11056 15344 18242 19348 20848 36484 38696 72968 77392 94667 145936 178511 189334 357022 378668 662669 714044 757336 900373 1249577 1325338 1428088 1514672 1800746 2499154 2650676 2856176 3601492 4998308 5301352 6302611 7202984 9996616 10602704 12605222 14405968 19993232 25210444 50420888 100841776 123351101 246702202 493404404 863457707 986808808 1726915414 1973617616 3453830828 6907661656 13815323312