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2663666046 = 234174383271
BaseRepresentation
bin1001111011000100…
…0101000101111110
320212122011020220000
42132301011011332
520423344303141
61120151335130
7123002534136
oct23661050576
96778136800
102663666046
11114762a7a8
126240814a6
13335b04772
141b3a95ac6
15108ca95b6
hex9ec4517e

2663666046 has 160 divisors (see below), whose sum is σ = 6568708608. Its totient is φ = 803416320.

The previous prime is 2663666039. The next prime is 2663666059. The reversal of 2663666046 is 6406663662.

It is a super-2 number, since 2×26636660462 = 14190233609226548232, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2663665992 and 2663666010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9828891 + ... + 9829161.

Almost surely, 22663666046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2663666046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3284354304).

2663666046 is an abundant number, since it is smaller than the sum of its proper divisors (3905042562).

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

2663666046 is a wasteful number, since it uses less digits than its factorization.

2663666046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The square root of 2663666046 is about 51610.7163872001. The cubic root of 2663666046 is about 1386.2022249483.

The spelling of 2663666046 in words is "two billion, six hundred sixty-three million, six hundred sixty-six thousand, forty-six".

Divisors: 1 2 3 6 9 17 18 27 34 43 51 54 81 83 86 102 129 153 162 166 249 258 271 306 387 459 498 542 731 747 774 813 918 1161 1377 1411 1462 1494 1626 2193 2241 2322 2439 2754 2822 3483 3569 4233 4386 4482 4607 4878 6579 6723 6966 7138 7317 8466 9214 10707 11653 12699 13158 13446 13821 14634 19737 21414 21951 22493 23306 25398 27642 32121 34959 38097 39474 41463 43902 44986 59211 60673 64242 67479 69918 76194 82926 96363 104877 114291 118422 121346 124389 134958 182019 192726 198101 202437 209754 228582 248778 289089 314631 364038 373167 382381 396202 404874 546057 578178 594303 607311 629262 746334 764762 943893 967199 1092114 1147143 1188606 1214622 1638171 1782909 1821933 1887786 1934398 2294286 2901597 3276342 3441429 3565818 3643866 4914513 5348727 5803194 6882858 8704791 9829026 10324287 10697454 16046181 16442383 17409582 20648574 26114373 30972861 32092362 32884766 49327149 52228746 61945722 78343119 98654298 147981447 156686238 295962894 443944341 887888682 1331833023 2663666046