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5739284544 = 2637387149
BaseRepresentation
bin1010101100001011…
…01000100001000000
3112210222110212022020
411112011220201000
543223224101134
62345300441440
7262140054000
oct52605504100
915728425266
105739284544
112485749474
1211420a9280
13706073c76
143c6344000
15238cd8b49
hex156168840

5739284544 has 112 divisors (see below), whose sum is σ = 17708880000. Its totient is φ = 1639776768.

The previous prime is 5739284543. The next prime is 5739284627. The reversal of 5739284544 is 4454829375.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (5739284543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22282 + ... + 109430.

It is an arithmetic number, because the mean of its divisors is an integer number (158115000).

Almost surely, 25739284544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5739284544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8854440000).

5739284544 is an abundant number, since it is smaller than the sum of its proper divisors (11969595456).

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

5739284544 is an equidigital number, since it uses as much as digits as its factorization.

5739284544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87185 (or 87161 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 51.

The square root of 5739284544 is about 75758.0658676025. The cubic root of 5739284544 is about 1790.4103741649.

The spelling of 5739284544 in words is "five billion, seven hundred thirty-nine million, two hundred eighty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 1029 1176 1344 1372 1568 2058 2352 2744 3136 4116 4704 5488 8232 9408 10976 16464 21952 32928 65856 87149 174298 261447 348596 522894 610043 697192 1045788 1220086 1394384 1830129 2091576 2440172 2788768 3660258 4183152 4270301 4880344 5577536 7320516 8366304 8540602 9760688 12810903 14641032 16732608 17081204 19521376 25621806 29282064 29892107 34162408 39042752 51243612 58564128 59784214 68324816 89676321 102487224 117128256 119568428 136649632 179352642 204974448 239136856 273299264 358705284 409948896 478273712 717410568 819897792 956547424 1434821136 1913094848 2869642272 5739284544