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6275938968 = 2334134991493
BaseRepresentation
bin1011101100001001…
…10011101010011000
3121012101021201210000
411312010303222120
5100323120021333
62514431053000
7311344413105
oct56604635230
917171251700
106275938968
112730670922
121271971160
137902c0b70
1443771baac
1526ae92713
hex176133a98

6275938968 has 160 divisors (see below), whose sum is σ = 18981270000. Its totient is φ = 1925897472.

The previous prime is 6275938957. The next prime is 6275938969. The reversal of 6275938968 is 8698395726.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6275938969) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4202830 + ... + 4204322.

Almost surely, 26275938968 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 6275938968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9490635000).

6275938968 is an abundant number, since it is smaller than the sum of its proper divisors (12705331032).

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

6275938968 is a wasteful number, since it uses less digits than its factorization.

6275938968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2010 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The square root of 6275938968 is about 79220.8240805408. The cubic root of 6275938968 is about 1844.5604981293.

The spelling of 6275938968 in words is "six billion, two hundred seventy-five million, nine hundred thirty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 499 648 702 936 998 1053 1404 1493 1497 1996 2106 2808 2986 2994 3992 4212 4479 4491 5972 5988 6487 8424 8958 8982 11944 11976 12974 13437 13473 17916 17964 19409 19461 25948 26874 26946 35832 35928 38818 38922 40311 40419 51896 53748 53892 58227 58383 77636 77844 80622 80838 107496 107784 116454 116766 120933 155272 155688 161244 161676 174681 175149 232908 233532 241866 322488 323352 349362 350298 465816 467064 483732 524043 525447 698724 700596 745007 967464 1048086 1050894 1397448 1401192 1490014 1572129 2096172 2101788 2235021 2980028 3144258 4192344 4203576 4470042 5960056 6288516 6705063 8940084 9685091 12577032 13410126 17880168 19370182 20115189 26820252 29055273 38740364 40230378 53640504 58110546 60345567 77480728 80460756 87165819 116221092 120691134 160921512 174331638 232442184 241382268 261497457 348663276 482764536 522994914 697326552 784492371 1045989828 1568984742 2091979656 3137969484 6275938968