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560065057056 = 253217328613929
BaseRepresentation
bin10000010011001100111…
…10101001000100100000
31222112121220012202111100
420021212132221010200
533134003123311211
61105142413514400
755314635302641
oct10114636510440
91875556182440
10560065057056
111a658213a91a
12906647a2a00
1340a7720595b
141d1705ad6c8
15e87de37156
hex82667a9120

560065057056 has 144 divisors (see below), whose sum is σ = 1602859035960. Its totient is φ = 185497128960.

The previous prime is 560065057051. The next prime is 560065057081. The reversal of 560065057056 is 650750560065.

It can be written as a sum of positive squares in 4 ways, for example, as 503696800656 + 56368256400 = 709716^2 + 237420^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (560065057051) 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, 142544500 + ... + 142548428.

Almost surely, 2560065057056 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 560065057056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801429517980).

560065057056 is an abundant number, since it is smaller than the sum of its proper divisors (1042793978904).

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

560065057056 is a wasteful number, since it uses less digits than its factorization.

560065057056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6979 (or 6968 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 45.

The spelling of 560065057056 in words is "five hundred sixty billion, sixty-five million, fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 173 288 346 519 692 1038 1384 1557 2076 2768 2861 3114 3929 4152 5536 5722 6228 7858 8304 8583 11444 11787 12456 15716 16608 17166 22888 23574 24912 25749 31432 34332 35361 45776 47148 49824 51498 62864 68664 70722 91552 94296 102996 125728 137328 141444 188592 205992 274656 282888 377184 411984 494953 565776 679717 823968 989906 1131552 1359434 1484859 1979812 2039151 2718868 2969718 3959624 4078302 4454577 5437736 5939436 6117453 7919248 8156604 8909154 10875472 11240869 11878872 12234906 15838496 16313208 17818308 21750944 22481738 23757744 24469812 32626416 33722607 35636616 44963476 47515488 48939624 65252832 67445214 71273232 89926952 97879248 101167821 134890428 142546464 179853904 195758496 202335642 269780856 359707808 404671284 539561712 809342568 1079123424 1618685136 1944670337 3237370272 3889340674 5834011011 7778681348 11668022022 15557362696 17502033033 23336044044 31114725392 35004066066 46672088088 62229450784 70008132132 93344176176 140016264264 186688352352 280032528528 560065057056