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13685636460 = 2235597575107
BaseRepresentation
bin11001011111011101…
…00011110101101100
31022022202221100212110
430233232203311230
5211012010331320
610142002404020
7663066663516
oct145756436554
938282840773
1013685636460
115893204261
12279b360610
1313a1452352
1493b844bb6
155517385e0
hex32fba3d6c

13685636460 has 96 divisors (see below), whose sum is σ = 39028389120. Its totient is φ = 3582206208.

The previous prime is 13685636411. The next prime is 13685636513. The reversal of 13685636460 is 6463658631.

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, 2677227 + ... + 2682333.

It is an arithmetic number, because the mean of its divisors is an integer number (406545720).

Almost surely, 213685636460 is an apocalyptic number.

13685636460 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 13685636460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514194560).

13685636460 is an abundant number, since it is smaller than the sum of its proper divisors (25342752660).

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

13685636460 is a wasteful number, since it uses less digits than its factorization.

13685636460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5935 (or 5933 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 13685636460 in words is "thirteen billion, six hundred eighty-five million, six hundred thirty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 757 885 1180 1514 1770 2271 3028 3540 3785 4542 5107 7570 9084 10214 11355 15140 15321 20428 22710 25535 30642 44663 45420 51070 61284 76605 89326 102140 133989 153210 178652 223315 267978 301313 306420 446630 535956 602626 669945 893260 903939 1205252 1339890 1506565 1807878 2679780 3013130 3615756 3865999 4519695 6026260 7731998 9039390 11597997 15463996 18078780 19329995 23195994 38659990 46391988 57989985 77319980 115979970 228093941 231959940 456187882 684281823 912375764 1140469705 1368563646 2280939410 2737127292 3421409115 4561878820 6842818230 13685636460