Search a number
-
+
5734741068 = 22327229112103
BaseRepresentation
bin1010101011101000…
…10011010001001100
3112210122221000211100
411111310103101030
543221043203233
62345015223100
7262053331500
oct52564232114
915718830740
105734741068
112483125931
121140677a90
13705142c14
143c58c0300
152386dc813
hex155d1344c

5734741068 has 108 divisors (see below), whose sum is σ = 17444503440. Its totient is φ = 1581983424.

The previous prime is 5734741021. The next prime is 5734741079. The reversal of 5734741068 is 8601474375.

5734741068 is a `hidden beast` number, since 5 + 73 + 474 + 106 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4896 + ... + 107207.

It is an arithmetic number, because the mean of its divisors is an integer number (161523180).

Almost surely, 25734741068 is an apocalyptic number.

5734741068 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5734741068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8722251720).

5734741068 is an abundant number, since it is smaller than the sum of its proper divisors (11709762372).

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

5734741068 is a wasteful number, since it uses less digits than its factorization.

5734741068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112156 (or 112144 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 5734741068 is about 75728.0731829353. The cubic root of 5734741068 is about 1789.9377929548.

The spelling of 5734741068 in words is "five billion, seven hundred thirty-four million, seven hundred forty-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 116 126 147 174 196 203 252 261 294 348 406 441 522 588 609 812 882 1044 1218 1421 1764 1827 2436 2842 3654 4263 5684 7308 8526 12789 17052 25578 51156 112103 224206 336309 448412 672618 784721 1008927 1345236 1569442 2017854 2354163 3138884 3250987 4035708 4708326 5493047 6501974 7062489 9416652 9752961 10986094 13003948 14124978 16479141 19505922 21972188 22756909 28249956 29258883 32958282 39011844 45513818 49437423 58517766 65916564 68270727 91027636 98874846 117035532 136541454 159298363 197749692 204812181 273082908 318596726 409624362 477895089 637193452 819248724 955790178 1433685267 1911580356 2867370534 5734741068