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516505016055 = 35722924231997
BaseRepresentation
bin1111000010000100001…
…10010001011011110111
31211101012010022101211110
413201002012101123313
531430300241003210
61033140143010103
752213322124600
oct7410206213367
91741163271743
10516505016055
1118a059686336
1284128599933
1339924724272
141addb294da7
15d67eb33420
hex78421916f7

516505016055 has 48 divisors (see below), whose sum is σ = 994481197920. Its totient is φ = 227974618368.

The previous prime is 516505016029. The next prime is 516505016059. The reversal of 516505016055 is 550610505615.

It is not a de Polignac number, because 516505016055 - 214 = 516504999671 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516505016059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12094684 + ... + 12137313.

It is an arithmetic number, because the mean of its divisors is an integer number (20718358290).

Almost surely, 2516505016055 is an apocalyptic number.

516505016055 is a deficient number, since it is larger than the sum of its proper divisors (477976181865).

516505016055 is a wasteful number, since it uses less digits than its factorization.

516505016055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24232048 (or 24232041 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 39.

The spelling of 516505016055 in words is "five hundred sixteen billion, five hundred five million, sixteen thousand, fifty-five".

Divisors: 1 3 5 7 15 21 29 35 49 87 105 145 147 203 245 435 609 735 1015 1421 3045 4263 7105 21315 24231997 72695991 121159985 169623979 363479955 508871937 702727913 848119895 1187367853 2108183739 2544359685 3513639565 3562103559 4919095391 5936839265 10540918695 14757286173 17810517795 24595476955 34433667737 73786430865 103301003211 172168338685 516505016055