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6442517380 = 2251324778913
BaseRepresentation
bin1100000000000000…
…10000001110000100
3121121222201210101211
412000000100032010
5101143241024010
62543141301204
7315436331335
oct60000201604
917558653354
106442517380
1128066a6732
1212b9704804
137b8975980
144518c028c
1527a8e908a
hex180010384

6442517380 has 24 divisors (see below), whose sum is σ = 14570001432. Its totient is φ = 2378775552.

The previous prime is 6442517303. The next prime is 6442517383. The reversal of 6442517380 is 837152446.

It can be written as a sum of positive squares in 4 ways, for example, as 66814276 + 6375703104 = 8174^2 + 79848^2 .

It is not an unprimeable number, because it can be changed into a prime (6442517383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12389197 + ... + 12389716.

It is an arithmetic number, because the mean of its divisors is an integer number (607083393).

Almost surely, 26442517380 is an apocalyptic number.

It is an amenable number.

6442517380 is an abundant number, since it is smaller than the sum of its proper divisors (8127484052).

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

6442517380 is a wasteful number, since it uses less digits than its factorization.

6442517380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24778935 (or 24778933 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 6442517380 is about 80265.2937451798. The cubic root of 6442517380 is about 1860.7378831317.

The spelling of 6442517380 in words is "six billion, four hundred forty-two million, five hundred seventeen thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 24778913 49557826 99115652 123894565 247789130 322125869 495578260 644251738 1288503476 1610629345 3221258690 6442517380