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516655675050463 = 135316317382932077
BaseRepresentation
bin111010101111001010100010…
…1111110111000100111011111
32111202022210121022122002222101
41311132111011332320213133
51020204341310303103323
65030500201313425531
7213553066160110654
oct16536250576704737
92452283538562871
10516655675050463
1113a693494420233
1249b433b826b2a7
131923956221cc30
1491823a7931c2b
153eae5ee337dad
hex1d5e545fb89df

516655675050463 has 64 divisors (see below), whose sum is σ = 574381266963840. Its totient is φ = 461783693150208.

The previous prime is 516655675050433. The next prime is 516655675050511. The reversal of 516655675050463 is 364050576556615.

It is a de Polignac number, because none of the positive numbers 2k-516655675050463 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 516655675050395 and 516655675050404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516655675050433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16106716981 + ... + 16106749057.

It is an arithmetic number, because the mean of its divisors is an integer number (8974707296310).

Almost surely, 2516655675050463 is an apocalyptic number.

516655675050463 is a gapful number since it is divisible by the number (53) formed by its first and last digit.

516655675050463 is a deficient number, since it is larger than the sum of its proper divisors (57725591913377).

516655675050463 is a wasteful number, since it uses less digits than its factorization.

516655675050463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33308.

The product of its (nonzero) digits is 340200000, while the sum is 64.

The spelling of 516655675050463 in words is "five hundred sixteen trillion, six hundred fifty-five billion, six hundred seventy-five million, fifty thousand, four hundred sixty-three".

Divisors: 1 13 53 163 173 689 829 2119 2249 8639 9169 10777 28199 32077 43937 112307 119197 135127 143417 366587 417001 571181 1494547 1700081 1756651 1864421 5228551 5549321 7161731 7601101 19429111 22101053 23376971 26591833 67971163 72141173 93102503 98814313 277113203 294114013 303900623 345693829 904539323 1238979463 1409367149 3602471639 3823482169 4334468779 4600387109 11759011199 16106733019 18321772937 47940584119 56348094127 59805032417 229726845287 243820516777 623227593547 749863098767 2986448988731 3169666718101 9748220283971 39742744234651 516655675050463