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560010005505 = 335291109128983
BaseRepresentation
bin10000010011000110011…
…00101000110000000001
31222112111001121211222000
420021203030220300001
533133400030134010
61105133125534213
755313366335536
oct10114314506001
91875431554860
10560010005505
111a6554059875
129064a274369
1340a6899c182
141d16715cd8d
15e8791b07c0
hex8263328c01

560010005505 has 64 divisors (see below), whose sum is σ = 1030840128000. Its totient is φ = 288110704896.

The previous prime is 560010005501. The next prime is 560010005509. The reversal of 560010005505 is 505500010065.

560010005505 is a `hidden beast` number, since 5 + 6 + 0 + 0 + 100 + 0 + 550 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (560010005501) and next prime (560010005509).

It is not a de Polignac number, because 560010005505 - 22 = 560010005501 is a prime.

It is a super-2 number, since 2×5600100055052 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (560010005501) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4277244 + ... + 4406226.

It is an arithmetic number, because the mean of its divisors is an integer number (16106877000).

Almost surely, 2560010005505 is an apocalyptic number.

It is an amenable number.

560010005505 is a deficient number, since it is larger than the sum of its proper divisors (470830122495).

560010005505 is a wasteful number, since it uses less digits than its factorization.

560010005505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130135 (or 130129 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 560010005505 in words is "five hundred sixty billion, ten million, five thousand, five hundred five".

Divisors: 1 3 5 9 15 27 29 45 87 135 145 261 435 783 1109 1305 3327 3915 5545 9981 16635 29943 32161 49905 96483 128983 149715 160805 289449 386949 482415 644915 868347 1160847 1447245 1934745 3482541 3740507 4341735 5804235 11221521 17412705 18702535 33664563 56107605 100993689 143042147 168322815 429126441 504968445 715210735 1287379323 2145632205 3862137969 4148222263 6436896615 12444666789 19310689845 20741111315 37334000367 62223333945 112002001101 186670001835 560010005505