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6379526468 = 2272310639319
BaseRepresentation
bin1011111000011111…
…11101100101000100
3121110121012112010002
411330033331211010
5101031124321333
62533011220432
7314043036350
oct57417754504
917417175102
106379526468
112784092727
1212a05a7718
137a88bc543
144473a4460
152751050e8
hex17c3fd944

6379526468 has 48 divisors (see below), whose sum is σ = 13327749120. Its totient is φ = 2612469024.

The previous prime is 6379526423. The next prime is 6379526509. The reversal of 6379526468 is 8646259736.

It is a happy 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, 679913 + ... + 689231.

It is an arithmetic number, because the mean of its divisors is an integer number (277661440).

Almost surely, 26379526468 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 6379526468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6663874560).

6379526468 is an abundant number, since it is smaller than the sum of its proper divisors (6948222652).

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

6379526468 is a wasteful number, since it uses less digits than its factorization.

6379526468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10416 (or 10414 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 56.

The square root of 6379526468 is about 79871.9379256570. The cubic root of 6379526468 is about 1854.6536327991.

The spelling of 6379526468 in words is "six billion, three hundred seventy-nine million, five hundred twenty-six thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 644 1063 2126 4252 7441 9319 14882 18638 24449 29764 37276 48898 65233 97796 130466 171143 214337 260932 342286 428674 684572 857348 1500359 3000718 6001436 9906097 19812194 39624388 69342679 138685358 227840231 277370716 455680462 911360924 1594881617 3189763234 6379526468