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14166125532 = 22331321495209
BaseRepresentation
bin11010011000101110…
…11110101111011100
31100120021001201222000
431030113132233130
5213003012004112
610301405122300
71011023036346
oct151427365734
940507051860
1014166125532
11600a454869
1228b4259390
131449b65800
1498559c296
1557d9ea7dc
hex34c5debdc

14166125532 has 144 divisors (see below), whose sum is σ = 40044060000. Its totient is φ = 4328722944.

The previous prime is 14166125489. The next prime is 14166125593. The reversal of 14166125532 is 23552166141.

14166125532 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 612 + 5 + 5 + 32 = 666.

It is a super-2 number, since 2×141661255322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2716944 + ... + 2722152.

It is an arithmetic number, because the mean of its divisors is an integer number (278083750).

Almost surely, 214166125532 is an apocalyptic number.

14166125532 is a gapful number since it is divisible by the number (12) 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 14166125532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20022030000).

14166125532 is an abundant number, since it is smaller than the sum of its proper divisors (25877934468).

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

14166125532 is a wasteful number, since it uses less digits than its factorization.

14166125532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5397 (or 5376 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The spelling of 14166125532 in words is "fourteen billion, one hundred sixty-six million, one hundred twenty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 149 156 169 234 298 338 351 447 468 507 596 676 702 894 1014 1341 1404 1521 1788 1937 2028 2682 3042 3874 4023 4563 5209 5364 5811 6084 7748 8046 9126 10418 11622 15627 16092 17433 18252 20836 23244 25181 31254 34866 46881 50362 52299 62508 67717 69732 75543 93762 100724 104598 135434 140643 151086 187524 203151 209196 226629 270868 281286 302172 406302 453258 562572 609453 679887 776141 812604 880321 906516 1218906 1359774 1552282 1760642 1828359 2328423 2437812 2640963 2719548 3104564 3521284 3656718 4656846 5281926 6985269 7313436 7922889 9313692 10089833 10563852 13970538 15845778 20179666 20955807 23768667 27941076 30269499 31691556 40359332 41911614 47537334 60538998 83823228 90808497 95074668 121077996 131167829 181616994 262335658 272425491 363233988 393503487 524671316 544850982 787006974 1089701964 1180510461 1574013948 2361020922 3541531383 4722041844 7083062766 14166125532