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13980224643 = 37211191273583
BaseRepresentation
bin11010000010100100…
…10100110010000011
31100002022020222212220
431001102110302003
5212112414142033
610231124422123
71003304643300
oct150122246203
940068228786
1013980224643
115a24521770
122861b47943
13141a4a6a98
14968a0a0a7
1556c528bb3
hex341494c83

13980224643 has 96 divisors (see below), whose sum is σ = 25102909440. Its totient is φ = 6824139840.

The previous prime is 13980224537. The next prime is 13980224663. The reversal of 13980224643 is 34642208931.

It is a Cunningham number, because it is equal to 1182382-1.

It is not a de Polignac number, because 13980224643 - 29 = 13980224131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13980224595 and 13980224604.

It is not an unprimeable number, because it can be changed into a prime (13980224663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3900030 + ... + 3903612.

It is an arithmetic number, because the mean of its divisors is an integer number (261488640).

Almost surely, 213980224643 is an apocalyptic number.

13980224643 is a deficient number, since it is larger than the sum of its proper divisors (11122684797).

13980224643 is a wasteful number, since it uses less digits than its factorization.

13980224643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 13980224643 in words is "thirteen billion, nine hundred eighty million, two hundred twenty-four thousand, six hundred forty-three".

Divisors: 1 3 7 11 19 21 33 49 57 77 127 133 147 209 231 381 399 539 627 889 931 1397 1463 1617 2413 2667 2793 3583 4191 4389 6223 7239 9779 10241 10749 16891 18669 25081 26543 29337 30723 39413 50673 68077 68453 75243 79629 118237 118239 175567 185801 204231 205359 275891 354711 455041 476539 526701 557403 748847 827673 1300607 1365123 1429617 1931237 2246541 3185287 3335773 3901821 5005451 5241929 5793711 8645779 9555861 10007319 15016353 15725787 22297009 25937337 35038157 36693503 60520453 66891027 95103569 105114471 110080509 181561359 245267099 285310707 423643171 665724983 735801297 1270929513 1997174949 4660074881 13980224643