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6434448021 = 3219223168737
BaseRepresentation
bin1011111111000010…
…11110001010010101
3121121102112211022200
411333201132022111
5101134204314041
62542252315113
7315310622451
oct57741361225
917542484280
106434448021
112802095041
1212b6a72a99
137b70abac1
144507bd661
15279d531b6
hex17f85e295

6434448021 has 24 divisors (see below), whose sum is σ = 9827301120. Its totient is φ = 4045614336.

The previous prime is 6434447969. The next prime is 6434448101. The reversal of 6434448021 is 1208444346.

6434448021 is a `hidden beast` number, since 643 + 4 + 4 + 4 + 8 + 0 + 2 + 1 = 666.

It is not a de Polignac number, because 6434448021 - 223 = 6426059413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6434448221) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 46236 + ... + 122501.

It is an arithmetic number, because the mean of its divisors is an integer number (409470880).

Almost surely, 26434448021 is an apocalyptic number.

It is an amenable number.

6434448021 is a deficient number, since it is larger than the sum of its proper divisors (3392853099).

6434448021 is a wasteful number, since it uses less digits than its factorization.

6434448021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168985 (or 168982 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 6434448021 is about 80215.0111949129. The cubic root of 6434448021 is about 1859.9606902896.

The spelling of 6434448021 in words is "six billion, four hundred thirty-four million, four hundred forty-eight thousand, twenty-one".

Divisors: 1 3 9 19 57 171 223 669 2007 4237 12711 38133 168737 506211 1518633 3206003 9618009 28854027 37628351 112885053 338655159 714938669 2144816007 6434448021