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560561105504 = 25475217091009
BaseRepresentation
bin10000010100001000000…
…10111010101001100000
31222120220110121122001002
420022010002322221200
533141012120334004
61105303533531132
755333140531221
oct10120402725140
91876813548032
10560561105504
111a6807148414
1290782943aa8
1340b25c0624a
141d1ba417248
15e8ac76e61e
hex82840baa60

560561105504 has 96 divisors (see below), whose sum is σ = 1131962428800. Its totient is φ = 273133486080.

The previous prime is 560561105491. The next prime is 560561105519. The reversal of 560561105504 is 405501165065.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555560552 + ... + 555561560.

It is an arithmetic number, because the mean of its divisors is an integer number (11791275300).

Almost surely, 2560561105504 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 560561105504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565981214400).

560561105504 is an abundant number, since it is smaller than the sum of its proper divisors (571401323296).

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

560561105504 is a wasteful number, since it uses less digits than its factorization.

560561105504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 38.

The spelling of 560561105504 in words is "five hundred sixty billion, five hundred sixty-one million, one hundred five thousand, five hundred four".

Divisors: 1 2 4 8 16 32 47 94 188 376 521 709 752 1009 1042 1418 1504 2018 2084 2836 4036 4168 5672 8072 8336 11344 16144 16672 22688 24487 32288 33323 47423 48974 66646 94846 97948 133292 189692 195896 266584 369389 379384 391792 525689 533168 715381 738778 758768 783584 1051378 1066336 1430762 1477556 1517536 2102756 2861524 2955112 4205512 5723048 5910224 8411024 11446096 11820448 16822048 17361283 22892192 24707383 33622907 34722566 49414766 67245814 69445132 98829532 134491628 138890264 197659064 268983256 277780528 372713501 395318128 537966512 555561056 745427002 790636256 1075933024 1490854004 2981708008 5963416016 11926832032 17517534547 35035069094 70070138188 140140276376 280280552752 560561105504