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13965843216 = 24313148915031
BaseRepresentation
bin11010000000110110…
…11101101100010000
31100001022012100021110
431000123131230100
5212100223440331
610225452253320
71003041465033
oct150033355420
940038170243
1013965843216
115a17399796
122859171240
13141750cb70
14966b4501a
1556b137946
hex3406ddb10

13965843216 has 80 divisors (see below), whose sum is σ = 38882372480. Its totient is φ = 4294010880.

The previous prime is 13965843197. The next prime is 13965843223. The reversal of 13965843216 is 61234856931.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 921621 + ... + 936651.

It is an arithmetic number, because the mean of its divisors is an integer number (486029656).

Almost surely, 213965843216 is an apocalyptic number.

13965843216 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 13965843216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19441186240).

13965843216 is an abundant number, since it is smaller than the sum of its proper divisors (24916529264).

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

13965843216 is a wasteful number, since it uses less digits than its factorization.

13965843216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16544 (or 16538 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The spelling of 13965843216 in words is "thirteen billion, nine hundred sixty-five million, eight hundred forty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1489 2978 4467 5956 8934 11912 15031 17868 19357 23824 30062 35736 38714 45093 58071 60124 71472 77428 90186 116142 120248 154856 180372 195403 232284 240496 309712 360744 390806 464568 586209 721488 781612 929136 1172418 1563224 2344836 3126448 4689672 9379344 22381159 44762318 67143477 89524636 134286954 179049272 268573908 290955067 358098544 537147816 581910134 872865201 1074295632 1163820268 1745730402 2327640536 3491460804 4655281072 6982921608 13965843216