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6404639856 = 2436114711487
BaseRepresentation
bin1011111011011111…
…10000110001110000
3121112100110102012120
411331233300301300
5101104041433411
62535305354240
7314466353256
oct57557606160
917470412176
106404639856
11279728579a
1212a8a98980
137b0b73234
1444a8605d6
15277416106
hex17dbf0c70

6404639856 has 80 divisors (see below), whose sum is σ = 16839303168. Its totient is φ = 2097043200.

The previous prime is 6404639849. The next prime is 6404639863. The reversal of 6404639856 is 6589364046.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6404639849) and next prime (6404639863).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6404639799 and 6404639808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4306345 + ... + 4307831.

Almost surely, 26404639856 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 6404639856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8419651584).

6404639856 is an abundant number, since it is smaller than the sum of its proper divisors (10434663312).

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

6404639856 is a wasteful number, since it uses less digits than its factorization.

6404639856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The square root of 6404639856 is about 80028.9938459806. The cubic root of 6404639856 is about 1857.0840980586.

The spelling of 6404639856 in words is "six billion, four hundred four million, six hundred thirty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1464 1471 1487 2928 2942 2974 4413 4461 5884 5948 8826 8922 11768 11896 17652 17844 23536 23792 35304 35688 70608 71376 89731 90707 179462 181414 269193 272121 358924 362828 538386 544242 717848 725656 1076772 1088484 1435696 1451312 2153544 2176968 2187377 4307088 4353936 4374754 6562131 8749508 13124262 17499016 26248524 34998032 52497048 104994096 133429997 266859994 400289991 533719988 800579982 1067439976 1601159964 2134879952 3202319928 6404639856