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6429606048 = 253228378887
BaseRepresentation
bin1011111110011110…
…00000000010100000
3121121002102211101100
411333033000002200
5101131434343143
62542000434400
7315221515065
oct57717000240
917532384340
106429606048
1127aa388208
1212b5318a00
137b60a4c28
1444dcbcc6c
152796e86d3
hex17f3c00a0

6429606048 has 72 divisors (see below), whose sum is σ = 18349033248. Its totient is φ = 2135601792.

The previous prime is 6429606041. The next prime is 6429606083. The reversal of 6429606048 is 8406069246.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 6429605994 and 6429606012.

It is not an unprimeable number, because it can be changed into a prime (6429606041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42061 + ... + 120947.

It is an arithmetic number, because the mean of its divisors is an integer number (254847684).

Almost surely, 26429606048 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 6429606048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9174516624).

6429606048 is an abundant number, since it is smaller than the sum of its proper divisors (11919427200).

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

6429606048 is a wasteful number, since it uses less digits than its factorization.

6429606048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79186 (or 79175 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6429606048 is about 80184.8242998636. The cubic root of 6429606048 is about 1859.4940281736.

The spelling of 6429606048 in words is "six billion, four hundred twenty-nine million, six hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 283 288 566 849 1132 1698 2264 2547 3396 4528 5094 6792 9056 10188 13584 20376 27168 40752 78887 81504 157774 236661 315548 473322 631096 709983 946644 1262192 1419966 1893288 2524384 2839932 3786576 5679864 7573152 11359728 22325021 22719456 44650042 66975063 89300084 133950126 178600168 200925189 267900252 357200336 401850378 535800504 714400672 803700756 1071601008 1607401512 2143202016 3214803024 6429606048