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564316050335324 = 227231283809405667
BaseRepresentation
bin1000000001001111100001000…
…1101110001010011001011100
32202000002002100211010101221212
42000103320101232022121130
51042431223232341212244
65320111114205443552
7226602326536554500
oct20023702156123134
92660062324111855
10564316050335324
111538991027a8281
12533602935705b8
131b2b5a10197631
149d4d084b4a300
15453924ec54d9e
hex2013e11b8a65c

564316050335324 has 144 divisors (see below), whose sum is σ = 1191508058280960. Its totient is φ = 232932248881920.

The previous prime is 564316050335311. The next prime is 564316050335369. The reversal of 564316050335324 is 423533050613465.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1390879139 + ... + 1391284805.

It is an arithmetic number, because the mean of its divisors is an integer number (8274361515840).

Almost surely, 2564316050335324 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 564316050335324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595754029140480).

564316050335324 is an abundant number, since it is smaller than the sum of its proper divisors (627192007945636).

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

564316050335324 is a wasteful number, since it uses less digits than its factorization.

564316050335324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406808 (or 406799 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 50.

The spelling of 564316050335324 in words is "five hundred sixty-four trillion, three hundred sixteen billion, fifty million, three hundred thirty-five thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 283 434 566 809 868 1132 1519 1618 1981 3038 3236 3962 5663 6076 7924 8773 11326 13867 17546 22652 25079 27734 35092 39641 50158 55468 61411 79282 100316 122822 158564 175553 228947 245644 351106 405667 429877 457894 702212 811334 859754 915788 1228871 1602629 1622668 1719508 2457742 2839669 3205258 4915484 5679338 6410516 7097357 11218403 11358676 12575677 14194714 19877683 22436806 25151354 28389428 39755366 44873612 49681499 50302708 79510732 88029739 99362998 114803761 176059478 198725996 229607522 328184603 347770493 352118956 459215044 616208173 656369206 695540986 803626327 1232416346 1312738412 1391081972 1607252654 2297292221 2464832692 3214505308 3558916591 4594584442 5625384289 7117833182 9189168884 10173722693 11250768578 14235666364 16081045547 20347445386 22501537156 24912416137 32162091094 40694890772 49824832274 64324182188 71216058851 92876242649 99649664548 142432117702 174386912959 185752485298 284864235404 348773825918 371504970596 498512411957 650133698543 697547651836 997024823914 1300267397086 1994049647828 2600534794172 2879163522119 4550935889801 5758327044238 9101871779602 11516654088476 18203743559204 20154144654833 40308289309666 80616578619332 141079012583831 282158025167662 564316050335324