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13813433613 = 3272971831283
BaseRepresentation
bin11001101110101100…
…00100010100001101
31022122200102010121100
430313112010110031
5211242214333423
610202405453313
7666211151130
oct146726042415
938580363540
1013813433613
115949361141
122816111239
1313c1a79275
149507d0217
1555ca7e343
hex33758450d

13813433613 has 96 divisors (see below), whose sum is σ = 24228771840. Its totient is φ = 7417549440.

The previous prime is 13813433597. The next prime is 13813433651. The reversal of 13813433613 is 31633431831.

13813433613 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 3 + 4 + 33 + 613 = 666.

It is not a de Polignac number, because 13813433613 - 24 = 13813433597 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13813433693) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10765870 + ... + 10767152.

It is an arithmetic number, because the mean of its divisors is an integer number (252383040).

Almost surely, 213813433613 is an apocalyptic number.

It is an amenable number.

13813433613 is a deficient number, since it is larger than the sum of its proper divisors (10415338227).

13813433613 is a wasteful number, since it uses less digits than its factorization.

13813433613 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479 (or 1476 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The spelling of 13813433613 in words is "thirteen billion, eight hundred thirteen million, four hundred thirty-three thousand, six hundred thirteen".

Divisors: 1 3 7 9 21 29 63 71 83 87 203 213 249 261 497 581 609 639 747 1283 1491 1743 1827 2059 2407 3849 4473 5229 5893 6177 7221 8981 11547 14413 16849 17679 18531 21663 26943 37207 41251 43239 50547 53037 80829 91093 106489 111621 123753 129717 151641 170897 260449 273279 319467 334863 371259 512691 637651 745423 781347 819837 958401 1196279 1538073 1912953 2236269 2344041 2641697 3088181 3588837 5738859 6708807 7560719 7925091 9264543 10766511 18491879 21617267 22682157 23775273 27793629 52925033 55475637 64851801 68046471 158775099 166426911 194555403 219260851 476325297 657782553 1534825957 1973347659 4604477871 13813433613