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520733145114 = 2337131011049201
BaseRepresentation
bin1111001001111100001…
…11010011100000011010
31211210002210021121112000
413210332013103200122
532012430141120424
61035115502301430
752423152462510
oct7447607234032
91753083247460
10520733145114
11190929315276
1284b08587876
133a14969b490
141b2bca304b0
15d82ae1c3c9
hex793e1d381a

520733145114 has 128 divisors (see below), whose sum is σ = 1438330037760. Its totient is φ = 135976320000.

The previous prime is 520733145089. The next prime is 520733145137. The reversal of 520733145114 is 411541337025.

520733145114 is a `hidden beast` number, since 5 + 207 + 331 + 4 + 5 + 114 = 666.

520733145114 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28287 + ... + 1020914.

It is an arithmetic number, because the mean of its divisors is an integer number (11236953420).

Almost surely, 2520733145114 is an apocalyptic number.

520733145114 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 520733145114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719165018880).

520733145114 is an abundant number, since it is smaller than the sum of its proper divisors (917596892646).

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

520733145114 is a wasteful number, since it uses less digits than its factorization.

520733145114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049333 (or 1049327 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 520733145114 in words is "five hundred twenty billion, seven hundred thirty-three million, one hundred forty-five thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 101 117 126 182 189 202 234 273 303 351 378 546 606 702 707 819 909 1313 1414 1638 1818 2121 2457 2626 2727 3939 4242 4914 5454 6363 7878 9191 11817 12726 18382 19089 23634 27573 35451 38178 55146 70902 82719 165438 248157 496314 1049201 2098402 3147603 6295206 7344407 9442809 13639613 14688814 18885618 22033221 27279226 28328427 40918839 44066442 56656854 66099663 81837678 95477291 105969301 122756517 132199326 190954582 198298989 211938602 245513034 286431873 317907903 368269551 396597978 572863746 635815806 736539102 741785107 859295619 953723709 1377600913 1483570214 1718591238 1907447418 2225355321 2577886857 2755201826 2861171127 4132802739 4450710642 5155773714 5722342254 6676065963 8265605478 9643206391 12398408217 13352131926 19286412782 20028197889 24796816434 28929619173 37195224651 40056395778 57859238346 74390449302 86788857519 173577715038 260366572557 520733145114