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78472263141414 = 2321910914291473097
BaseRepresentation
bin10001110101111010111111…
…010111101000100000100110
3101021211212121221102110220200
4101311322333113220200212
540241142143331011124
6434521354321411330
722346301556102002
oct2165727727504046
9337755557373820
1078472263141414
112300499985942a
12897454a199b46
1334a2b971c1c6c
1415541136b5702
1591139c4a5bc9
hex475ebf5e8826

78472263141414 has 96 divisors (see below), whose sum is σ = 180740286012000. Its totient is φ = 24536169810432.

The previous prime is 78472263141407. The next prime is 78472263141443. The reversal of 78472263141414 is 41414136227487.

78472263141414 is a `hidden beast` number, since 7 + 8 + 4 + 7 + 22 + 63 + 141 + 414 = 666.

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, 52533714 + ... + 54006810.

It is an arithmetic number, because the mean of its divisors is an integer number (1882711312625).

Almost surely, 278472263141414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78472263141414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90370143006000).

78472263141414 is an abundant number, since it is smaller than the sum of its proper divisors (102268022870586).

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

78472263141414 is a wasteful number, since it uses less digits than its factorization.

78472263141414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474662 (or 1474659 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The spelling of 78472263141414 in words is "seventy-eight trillion, four hundred seventy-two billion, two hundred sixty-three million, one hundred forty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 109 114 171 218 327 342 654 981 1429 1962 2071 2858 4142 4287 6213 8574 12426 12861 18639 25722 27151 37278 54302 81453 155761 162906 244359 311522 467283 488718 934566 1401849 1473097 2803698 2946194 2959459 4419291 5918918 8838582 8878377 13257873 17756754 26515746 26635131 27988843 53270262 55977686 83966529 160567573 167933058 251899587 321135146 481702719 503799174 963405438 1445108157 2105055613 2890216314 3050783887 4210111226 6101567774 6315166839 9152351661 12630333678 18304703322 18945500517 27457054983 37891001034 39996056647 54914109966 79992113294 119988169941 229451061817 239976339882 359964509823 458902123634 688353185451 719929019646 1376706370902 2065059556353 4130119112706 4359570174523 8719140349046 13078710523569 26157421047138 39236131570707 78472263141414