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13863830016 = 293192916381
BaseRepresentation
bin11001110100101100…
…10100001000000000
31022210012020112110210
430322112110020000
5211343120030031
610211405554120
71000362416331
oct147226241000
938705215423
1013863830016
115974852763
12282ab75940
1313cc342c1a
1495738c288
155621d6746
hex33a594200

13863830016 has 160 divisors (see below), whose sum is σ = 40221086400. Its totient is φ = 4226826240.

The previous prime is 13863829979. The next prime is 13863830017. The reversal of 13863830016 is 61003836831.

It is not an unprimeable number, because it can be changed into a prime (13863830017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 838146 + ... + 854526.

It is an arithmetic number, because the mean of its divisors is an integer number (251381790).

Almost surely, 213863830016 is an apocalyptic number.

13863830016 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 13863830016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20110543200).

13863830016 is an abundant number, since it is smaller than the sum of its proper divisors (26357256384).

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

13863830016 is a wasteful number, since it uses less digits than its factorization.

13863830016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16450 (or 16434 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 13863830016 in words is "thirteen billion, eight hundred sixty-three million, eight hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 64 76 87 96 114 116 128 152 174 192 228 232 256 304 348 384 456 464 512 551 608 696 768 912 928 1102 1216 1392 1536 1653 1824 1856 2204 2432 2784 3306 3648 3712 4408 4864 5568 6612 7296 7424 8816 9728 11136 13224 14592 14848 16381 17632 22272 26448 29184 32762 35264 44544 49143 52896 65524 70528 98286 105792 131048 141056 196572 211584 262096 282112 311239 393144 423168 475049 524192 622478 786288 846336 933717 950098 1048384 1244956 1425147 1572576 1867434 1900196 2096768 2489912 2850294 3145152 3734868 3800392 4193536 4979824 5700588 6290304 7469736 7600784 8387072 9025931 9959648 11401176 12580608 14939472 15201568 18051862 19919296 22802352 25161216 27077793 29878944 30403136 36103724 39838592 45604704 54155586 59757888 60806272 72207448 79677184 91209408 108311172 119515776 121612544 144414896 159354368 182418816 216622344 239031552 243225088 288829792 364837632 433244688 478063104 577659584 729675264 866489376 1155319168 1732978752 2310638336 3465957504 4621276672 6931915008 13863830016