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4382664319 = 1137471971163
BaseRepresentation
bin1000001010011101…
…00010011001111111
3102022102202102012201
410011032202121333
532433430224234
62002515412331
7213415013665
oct40516423177
912272672181
104382664319
111949999630
12a238b40a7
1354aca34c7
142d80c4c35
151a9b62314
hex1053a267f

4382664319 has 32 divisors (see below), whose sum is σ = 5044571136. Its totient is φ = 3771573120.

The previous prime is 4382664239. The next prime is 4382664347. The reversal of 4382664319 is 9134662834.

It is a cyclic number.

It is not a de Polignac number, because 4382664319 - 213 = 4382656127 is a prime.

It is a super-2 number, since 2×43826643192 = 38415493066071467522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4382664359) 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 31 ways as a sum of consecutive naturals, for example, 3767832 + ... + 3768994.

It is an arithmetic number, because the mean of its divisors is an integer number (157642848).

Almost surely, 24382664319 is an apocalyptic number.

4382664319 is a deficient number, since it is larger than the sum of its proper divisors (661906817).

4382664319 is a wasteful number, since it uses less digits than its factorization.

4382664319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455.

The product of its digits is 746496, while the sum is 46.

The square root of 4382664319 is about 66201.6942305860. The cubic root of 4382664319 is about 1636.4876644289.

The spelling of 4382664319 in words is "four billion, three hundred eighty-two million, six hundred sixty-four thousand, three hundred nineteen".

Divisors: 1 11 37 47 197 407 517 1163 1739 2167 7289 9259 12793 19129 43031 54661 80179 101849 229111 342583 473341 601271 2022457 2520221 3768413 8477107 10768217 22247027 93248177 118450387 398424029 4382664319