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13278423825414 = 23211236434534637
BaseRepresentation
bin1100000100111001111110…
…1111000011110000000110
31202000101221012001022201100
43001032133233003300012
53220023202444403124
644124005041240530
72540222502150666
oct301163757036006
952011835038640
1013278423825414
11425a391099750
1215a5545333146
137541c46c8cc7
1433c9717d01a6
15180607a351c9
hexc139fbc3c06

13278423825414 has 96 divisors (see below), whose sum is σ = 32800886786304. Its totient is φ = 3842831931840.

The previous prime is 13278423825389. The next prime is 13278423825431. The reversal of 13278423825414 is 41452832487231.

13278423825414 is a `hidden beast` number, since 1 + 3 + 2 + 78 + 4 + 23 + 8 + 2 + 541 + 4 = 666.

13278423825414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660904 + ... + 5195540.

It is an arithmetic number, because the mean of its divisors is an integer number (341675904024).

Almost surely, 213278423825414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13278423825414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16400443393152).

13278423825414 is an abundant number, since it is smaller than the sum of its proper divisors (19522462960890).

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

13278423825414 is a wasteful number, since it uses less digits than its factorization.

13278423825414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535322 (or 4535319 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 13278423825414 in words is "thirteen trillion, two hundred seventy-eight billion, four hundred twenty-three million, eight hundred twenty-five thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 643 759 1286 1518 1929 2277 3858 4554 5787 7073 11574 14146 14789 21219 29578 42438 44367 63657 88734 127314 133101 162679 266202 325358 488037 976074 1464111 2928222 4534637 9069274 13603911 27207822 40811733 49881007 81623466 99762014 104296651 149643021 208593302 299286042 312889953 448929063 625779906 897858126 938669859 1147263161 1877339718 2294526322 2915771591 3441789483 5831543182 6883578966 8747314773 10325368449 17494629546 20650736898 26241944319 32073487501 52483888638 64146975002 67062746593 96220462503 134125493186 192440925006 201188239779 288661387509 402376479558 577322775018 603564719337 737690212523 1207129438674 1475380425046 2213070637569 4426141275138 6639211912707 13278423825414