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14373486864 = 24321149118481
BaseRepresentation
bin11010110001011101…
…00000000100010000
31101002201020210020100
431120232200010100
5213414103034424
610334133412400
71016121423342
oct153056400420
941081223210
1014373486864
116106505470
12295179a100
131480ac9619
149a4d39292
15591d0adc9
hex358ba0110

14373486864 has 120 divisors (see below), whose sum is σ = 43974444384. Its totient is φ = 4346496000.

The previous prime is 14373486821. The next prime is 14373486889. The reversal of 14373486864 is 46868437341.

14373486864 is a `hidden beast` number, since 14 + 3 + 73 + 486 + 86 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14373486864.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 768504 + ... + 786984.

Almost surely, 214373486864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14373486864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21987222192).

14373486864 is an abundant number, since it is smaller than the sum of its proper divisors (29600957520).

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

14373486864 is a wasteful number, since it uses less digits than its factorization.

14373486864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18997 (or 18988 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 14373486864 in words is "fourteen billion, three hundred seventy-three million, four hundred eighty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 491 528 792 982 1473 1584 1964 2946 3928 4419 5401 5892 7856 8838 10802 11784 16203 17676 18481 21604 23568 32406 35352 36962 43208 48609 55443 64812 70704 73924 86416 97218 110886 129624 147848 166329 194436 203291 221772 259248 295696 332658 388872 406582 443544 609873 665316 777744 813164 887088 1219746 1330632 1626328 1829619 2439492 2661264 3252656 3659238 4878984 7318476 9074171 9757968 14636952 18148342 27222513 29273904 36296684 54445026 72593368 81667539 99815881 108890052 145186736 163335078 199631762 217780104 299447643 326670156 399263524 435560208 598895286 653340312 798527048 898342929 1197790572 1306680624 1597054096 1796685858 2395581144 3593371716 4791162288 7186743432 14373486864