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286468919776 = 251317311306693
BaseRepresentation
bin1000010101100101110…
…00001101000111100000
31000101102111210221011201
410022302320031013200
514143142020413101
6335334011050544
726460652433014
oct4126270150740
91011374727151
10286468919776
11100544267476
1247629a40a54
1321024712270
14dc18050544
1576b9804e01
hex42b2e0d1e0

286468919776 has 96 divisors (see below), whose sum is σ = 663842366208. Its totient is φ = 120424734720.

The previous prime is 286468919771. The next prime is 286468919809. The reversal of 286468919776 is 677919864682.

It is a junction number, because it is equal to n+sod(n) for n = 286468919699 and 286468919708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (286468919771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434115 + ... + 872578.

It is an arithmetic number, because the mean of its divisors is an integer number (6915024648).

Almost surely, 2286468919776 is an apocalyptic number.

286468919776 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

286468919776 is an abundant number, since it is smaller than the sum of its proper divisors (377373446432).

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

286468919776 is a wasteful number, since it uses less digits than its factorization.

286468919776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306764 (or 1306756 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 73.

The spelling of 286468919776 in words is "two hundred eighty-six billion, four hundred sixty-eight million, nine hundred nineteen thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 17 26 31 32 34 52 62 68 104 124 136 208 221 248 272 403 416 442 496 527 544 806 884 992 1054 1612 1768 2108 3224 3536 4216 6448 6851 7072 8432 12896 13702 16864 27404 54808 109616 219232 1306693 2613386 5226772 10453544 16987009 20907088 22213781 33974018 40507483 41814176 44427562 67948036 81014966 88855124 135896072 162029932 177710248 271792144 288779153 324059864 355420496 526597279 543584288 577558306 648119728 688627211 710840992 1053194558 1155116612 1296239456 1377254422 2106389116 2310233224 2754508844 4212778232 4620466448 5509017688 8425556464 8952153743 9240932896 11018035376 16851112928 17904307486 22036070752 35808614972 71617229944 143234459888 286468919776