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71700689946168 = 23322937734396871
BaseRepresentation
bin10000010011011000011110…
…001001111000011000111000
3100101212112000100210111020100
4100103120132021320120320
533344221003111234133
6412254501531155400
721050126636454333
oct2023303611703070
9311775010714210
1071700689946168
1120934101272458
1280600a7ba5b60
13310146636b63a
14139c490a9161a
15845175b9ce13
hex41361e278638

71700689946168 has 96 divisors (see below), whose sum is σ = 195104247942240. Its totient is φ = 23787840549120.

The previous prime is 71700689946133. The next prime is 71700689946191. The reversal of 71700689946168 is 86164998600717.

71700689946168 is a `hidden beast` number, since 7 + 1 + 70 + 0 + 6 + 8 + 99 + 461 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 71700689946096 and 71700689946105.

It is a congruent number.

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, 14108773 + ... + 18505643.

It is an arithmetic number, because the mean of its divisors is an integer number (2032335916065).

Almost surely, 271700689946168 is an apocalyptic number.

It is an amenable number.

71700689946168 is an abundant number, since it is smaller than the sum of its proper divisors (123403557996072).

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

71700689946168 is a wasteful number, since it uses less digits than its factorization.

71700689946168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4397949 (or 4397942 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 71700689946168 in words is "seventy-one trillion, seven hundred billion, six hundred eighty-nine million, nine hundred forty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 293 586 773 879 1172 1546 1758 2319 2344 2637 3092 3516 4638 5274 6184 6957 7032 9276 10548 13914 18552 21096 27828 55656 226489 452978 679467 905956 1358934 1811912 2038401 2717868 4076802 4396871 5435736 8153604 8793742 13190613 16307208 17587484 26381226 35174968 39571839 52762452 79143678 105524904 158287356 316574712 1288283203 2576566406 3398781283 3864849609 5153132812 6797562566 7729699218 10196343849 10306265624 11594548827 13595125132 15459398436 20392687698 23189097654 27190250264 30589031547 30918796872 40785375396 46378195308 61178063094 81570750792 92756390616 122356126188 244712252376 995842915919 1991685831838 2987528747757 3983371663676 5975057495514 7966743327352 8962586243271 11950114991028 17925172486542 23900229982056 35850344973084 71700689946168