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2372064669 = 36132291093
BaseRepresentation
bin1000110101100010…
…1101010110011101
320010022110101000000
42031120231112131
514324222032134
61031213324513
7112532134302
oct21530552635
96108411000
102372064669
111007a72327
12562496739
132ba587680
1418706b0a9
15dd3a8e99
hex8d62d59d

2372064669 has 56 divisors (see below), whose sum is σ = 3850289240. Its totient is φ = 1452028032.

The previous prime is 2372064641. The next prime is 2372064683. The reversal of 2372064669 is 9664602732.

It can be written as a sum of positive squares in 4 ways, for example, as 1196260569 + 1175804100 = 34587^2 + 34290^2 .

It is a de Polignac number, because none of the positive numbers 2k-2372064669 is a prime.

It is a super-2 number, since 2×23720646692 = 11253381587836159122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2372064619) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 2169687 + ... + 2170779.

It is an arithmetic number, because the mean of its divisors is an integer number (68755165).

Almost surely, 22372064669 is an apocalyptic number.

It is an amenable number.

2372064669 is a deficient number, since it is larger than the sum of its proper divisors (1478224571).

2372064669 is a wasteful number, since it uses less digits than its factorization.

2372064669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 2372064669 is about 48703.8465524028. The cubic root of 2372064669 is about 1333.6509386655.

The spelling of 2372064669 in words is "two billion, three hundred seventy-two million, sixty-four thousand, six hundred sixty-nine".

Divisors: 1 3 9 13 27 39 81 117 229 243 351 687 729 1053 1093 2061 2977 3159 3279 6183 8931 9477 9837 14209 18549 26793 29511 42627 55647 80379 88533 127881 166941 241137 250297 265599 383643 723411 750891 796797 1150929 2170233 2252673 3253861 3452787 6758019 9761583 10358361 20274057 29284749 60822171 87854247 182466513 263562741 790688223 2372064669