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505116130420503 = 33729129771054479
BaseRepresentation
bin111001011011001101000001…
…1100001100010011100010111
32110020110122000121120101012000
41302312122003201202130113
51012201310313341424003
64550143051420130343
7211252302410130420
oct16266320341423427
92406418017511160
10505116130420503
11136a446032aa068
124879aa820969b3
13188b03290558b4
148ca3a73264647
153d5e36a5131a3
hex1cb6683862717

505116130420503 has 64 divisors (see below), whose sum is σ = 885395664384000. Its totient is φ = 278469888947712.

The previous prime is 505116130420501. The next prime is 505116130420513. The reversal of 505116130420503 is 305024031611505.

505116130420503 is a `hidden beast` number, since 5 + 0 + 5 + 1 + 16 + 130 + 4 + 2 + 0 + 503 = 666.

It is not a de Polignac number, because 505116130420503 - 21 = 505116130420501 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505116130420501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28418383 + ... + 42636096.

It is an arithmetic number, because the mean of its divisors is an integer number (13834307256000).

Almost surely, 2505116130420503 is an apocalyptic number.

505116130420503 is a deficient number, since it is larger than the sum of its proper divisors (380279533963497).

505116130420503 is a wasteful number, since it uses less digits than its factorization.

505116130420503 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71055821 (or 71055815 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 505116130420503 in words is "five hundred five trillion, one hundred sixteen billion, one hundred thirty million, four hundred twenty thousand, five hundred three".

Divisors: 1 3 7 9 21 27 29 63 87 189 203 261 609 783 1297 1827 3891 5481 9079 11673 27237 35019 37613 81711 112839 245133 263291 338517 789873 1015551 2369619 7108857 71054479 213163437 497381353 639490311 1492144059 1918470933 2060579891 4476432177 6181739673 13429296531 14424059237 18545219019 43272177711 55635657057 92157659263 129816533133 276472977789 389449599399 645103614841 829418933367 1935310844523 2488256800101 2672572118627 5805932533569 8017716355881 17417797600707 18708004830389 24053149067643 56124014491167 72159447202929 168372043473501 505116130420503