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286395849972 = 2232194327735153
BaseRepresentation
bin1000010101011101000…
…01011101110011110100
31000101020102022121020200
410022232201131303310
514143014314144342
6335322441000500
726456104362351
oct4125641356364
91011212277220
10286395849972
11100506a9a001
1247609483130
132101253a3ab
14dc0c46d628
1576b31be94c
hex42ae85dcf4

286395849972 has 144 divisors (see below), whose sum is σ = 782606784960. Its totient is φ = 88016108544.

The previous prime is 286395849937. The next prime is 286395849979. The reversal of 286395849972 is 279948593682.

286395849972 is a `hidden beast` number, since 2 + 8 + 6 + 39 + 584 + 9 + 9 + 7 + 2 = 666.

286395849972 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 286395849972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286395849979) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8129548 + ... + 8164700.

It is an arithmetic number, because the mean of its divisors is an integer number (5434769340).

Almost surely, 2286395849972 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 286395849972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391303392480).

286395849972 is an abundant number, since it is smaller than the sum of its proper divisors (496210934988).

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

286395849972 is a wasteful number, since it uses less digits than its factorization.

286395849972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35502 (or 35497 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 286395849972 in words is "two hundred eighty-six billion, three hundred ninety-five million, eight hundred forty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 43 57 76 86 114 129 171 172 228 258 277 342 387 516 554 684 774 817 831 1108 1548 1634 1662 2451 2493 3268 3324 4902 4986 5263 7353 9804 9972 10526 11911 14706 15789 21052 23822 29412 31578 35153 35733 47367 47644 63156 70306 71466 94734 105459 107199 140612 142932 189468 210918 214398 226309 316377 421836 428796 452618 632754 667907 678927 905236 1265508 1335814 1357854 1511579 2003721 2036781 2671628 2715708 3023158 4007442 4073562 4534737 6011163 6046316 8014884 8147124 9069474 9737381 12022326 13604211 18138948 19474762 24044652 27208422 28720001 29212143 38949524 54416844 57440002 58424286 86160003 87636429 114880004 116848572 172320006 175272858 185010239 258480009 344640012 350545716 370020478 418707383 516960018 555030717 740040956 837414766 1033920036 1110061434 1256122149 1665092151 1674829532 2220122868 2512244298 3330184302 3768366447 5024488596 6660368604 7536732894 7955440277 15073465788 15910880554 23866320831 31821761108 47732641662 71598962493 95465283324 143197924986 286395849972