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6243906564 = 2232741619907
BaseRepresentation
bin1011101000010101…
…00111010000000100
3121010011000022120200
411310022213100010
5100241420002224
62511324330500
7310505221140
oct56412472004
917104008520
106243906564
112714582465
1212630a3a30
13786786a8c
14433380220
152682665c9
hex1742a7404

6243906564 has 144 divisors (see below), whose sum is σ = 18782714496. Its totient is φ = 1711756800.

The previous prime is 6243906553. The next prime is 6243906593. The reversal of 6243906564 is 4656093426.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 625299 + ... + 635205.

Almost surely, 26243906564 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 6243906564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9391357248).

6243906564 is an abundant number, since it is smaller than the sum of its proper divisors (12538807932).

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

6243906564 is a wasteful number, since it uses less digits than its factorization.

6243906564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10026 (or 10021 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 6243906564 is about 79018.3938333348. The cubic root of 6243906564 is about 1841.4169304010.

The spelling of 6243906564 in words is "six billion, two hundred forty-three million, nine hundred six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 61 63 82 84 122 123 126 164 183 244 246 252 287 366 369 427 492 549 574 732 738 854 861 1098 1148 1281 1476 1708 1722 2196 2501 2562 2583 3444 3843 5002 5124 5166 7503 7686 9907 10004 10332 15006 15372 17507 19814 22509 29721 30012 35014 39628 45018 52521 59442 69349 70028 89163 90036 105042 118884 138698 157563 178326 208047 210084 277396 315126 356652 406187 416094 604327 624141 630252 812374 832188 1208654 1218561 1248282 1624748 1812981 2417308 2437122 2496564 2843309 3625962 3655683 4230289 4874244 5438943 5686618 7251924 7311366 8460578 8529927 10877886 11373236 12690867 14622732 16921156 17059854 21755772 24777407 25381734 25589781 34119708 38072601 49554814 50763468 51179562 74332221 76145202 99109628 102359124 148664442 152290404 173441849 222996663 297328884 346883698 445993326 520325547 693767396 891986652 1040651094 1560976641 2081302188 3121953282 6243906564