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82464646428 = 22334571670813
BaseRepresentation
bin100110011001101000…
…1101010010100011100
321212212002210002022000
41030303101222110130
52322341422141203
6101514515322300
75646356633463
oct1146321522434
9255762702260
1082464646428
1131a7816345a
1213b952b0390
137a12936598
143dc42259da
152229a644a3
hex133346a51c

82464646428 has 48 divisors (see below), whose sum is σ = 214265187360. Its totient is φ = 27428049792.

The previous prime is 82464646417. The next prime is 82464646457.

82464646428 is a `hidden beast` number, since 82 + 46 + 46 + 464 + 28 = 666.

82464646428 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786051 + ... + 884762.

It is an arithmetic number, because the mean of its divisors is an integer number (4463858070).

Almost surely, 282464646428 is an apocalyptic number.

It is an amenable number.

82464646428 is an abundant number, since it is smaller than the sum of its proper divisors (131800540932).

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

82464646428 is a wasteful number, since it uses less digits than its factorization.

82464646428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671283 (or 1671275 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 54.

The spelling of 82464646428 in words is "eighty-two billion, four hundred sixty-four million, six hundred forty-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 457 914 1371 1828 2742 4113 5484 8226 12339 16452 24678 49356 1670813 3341626 5012439 6683252 10024878 15037317 20049756 30074634 45111951 60149268 90223902 180447804 763561541 1527123082 2290684623 3054246164 4581369246 6872053869 9162738492 13744107738 20616161607 27488215476 41232323214 82464646428