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14379845868 = 22334119916319
BaseRepresentation
bin11010110010001101…
…10000100011101100
31101010011012212011000
431121012300203230
5213422220031433
610334522000300
71016226446613
oct153106604354
941104185130
1014379845868
11610a059043
122953946090
131482214b4b
149a5b1287a
15592665113
hex3591b08ec

14379845868 has 96 divisors (see below), whose sum is σ = 38384640000. Its totient is φ = 4652588160.

The previous prime is 14379845863. The next prime is 14379845869. The reversal of 14379845868 is 86854897341.

14379845868 is a `hidden beast` number, since 1 + 4 + 37 + 98 + 458 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (14379845863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 873013 + ... + 889331.

It is an arithmetic number, because the mean of its divisors is an integer number (399840000).

Almost surely, 214379845868 is an apocalyptic number.

14379845868 is a gapful number since it is divisible by the number (18) 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 14379845868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19192320000).

14379845868 is an abundant number, since it is smaller than the sum of its proper divisors (24004794132).

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

14379845868 is a wasteful number, since it uses less digits than its factorization.

14379845868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16572 (or 16564 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 14379845868 in words is "fourteen billion, three hundred seventy-nine million, eight hundred forty-five thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 199 246 369 398 492 597 738 796 1107 1194 1476 1791 2214 2388 3582 4428 5373 7164 8159 10746 16318 16319 21492 24477 32636 32638 48954 48957 65276 73431 97908 97914 146862 146871 195828 220293 293724 293742 440586 440613 587484 669079 881172 881226 1338158 1762452 2007237 2676316 3247481 4014474 6021711 6494962 8028948 9742443 12043422 12989924 18065133 19484886 24086844 29227329 36130266 38969772 58454658 72260532 87681987 116909316 133146721 175363974 266293442 350727948 399440163 532586884 798880326 1198320489 1597760652 2396640978 3594961467 4793281956 7189922934 14379845868