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5732016864 = 253726411901
BaseRepresentation
bin1010101011010011…
…11010001011100000
3112210110210121220220
411111221322023200
543214344014424
62344441003040
7262021224300
oct52551721340
915713717826
105732016864
112481635122
12113b783480
137046cac72
143c53b1600
15238350579
hex155a7a2e0

5732016864 has 144 divisors (see below), whose sum is σ = 17539650576. Its totient is φ = 1634304000.

The previous prime is 5732016863. The next prime is 5732016877. The reversal of 5732016864 is 4686102375.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5732016863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3014314 + ... + 3016214.

It is an arithmetic number, because the mean of its divisors is an integer number (121803129).

Almost surely, 25732016864 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 5732016864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8769825288).

5732016864 is an abundant number, since it is smaller than the sum of its proper divisors (11807633712).

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

5732016864 is a wasteful number, since it uses less digits than its factorization.

5732016864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 5732016864 is about 75710.0842952905. The cubic root of 5732016864 is about 1789.6543202309.

The spelling of 5732016864 in words is "five billion, seven hundred thirty-two million, sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 641 672 784 1176 1282 1568 1901 1923 2352 2564 3802 3846 4487 4704 5128 5703 7604 7692 8974 10256 11406 13307 13461 15208 15384 17948 20512 22812 26614 26922 30416 30768 31409 35896 39921 45624 53228 53844 60832 61536 62818 71792 79842 91248 93149 94227 106456 107688 125636 143584 159684 182496 186298 188454 212912 215376 251272 279447 319368 372596 376908 425824 430752 502544 558894 638736 745192 753816 1005088 1117788 1218541 1277472 1490384 1507632 2235576 2437082 2980768 3015264 3655623 4471152 4874164 7311246 8529787 8942304 9748328 14622492 17059574 19496656 25589361 29244984 34119148 38993312 51178722 58489968 59708509 68238296 102357444 116979936 119417018 136476592 179125527 204714888 238834036 272953184 358251054 409429776 477668072 716502108 818859552 955336144 1433004216 1910672288 2866008432 5732016864