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13985880012 = 22331319524287
BaseRepresentation
bin11010000011001111…
…11001011111001100
31100002200220022121000
431001213321133030
5212120341130022
610231445540300
71003404006246
oct150147713714
940080808530
1013985880012
115a27734725
122863a14690
13141b706c60
1496967d096
1556cc946ac
hex3419f97cc

13985880012 has 96 divisors (see below), whose sum is σ = 41104179200. Its totient is φ = 4076847936.

The previous prime is 13985879987. The next prime is 13985880023. The reversal of 13985880012 is 21008858931.

It is a happy number.

It is a super-2 number, since 2×139858800122 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13985880012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235468 + ... + 288819.

Almost surely, 213985880012 is an apocalyptic number.

13985880012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13985880012 is an abundant number, since it is smaller than the sum of its proper divisors (27118299188).

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

13985880012 is a wasteful number, since it uses less digits than its factorization.

13985880012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524332 (or 524324 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 13985880012 in words is "thirteen billion, nine hundred eighty-five million, eight hundred eighty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 108 114 117 156 171 228 234 247 342 351 468 494 513 684 702 741 988 1026 1404 1482 2052 2223 2964 4446 6669 8892 13338 26676 524287 1048574 1572861 2097148 3145722 4718583 6291444 6815731 9437166 9961453 13631462 14155749 18874332 19922906 20447193 27262924 28311498 29884359 39845812 40894386 56622996 59768718 61341579 81788772 89653077 119537436 122683158 129498889 179306154 184024737 245366316 258997778 268959231 358612308 368049474 388496667 517995556 537918462 736098948 776993334 1075836924 1165490001 1553986668 2330980002 3496470003 4661960004 6992940006 13985880012