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13518156311058 = 2372411600770061
BaseRepresentation
bin1100010010110111000011…
…1001111010101000010010
31202212022201120000102000010
43010231300321322220102
53232440141003423213
644430053312335350
72563440341516400
oct304556071725022
952768646012003
1013518156311058
114342021902443
121623aab244556
137709ab5350c9
1434a3d4724470
1518698924cac3
hexc4b70e7aa12

13518156311058 has 96 divisors (see below), whose sum is σ = 32219960105088. Its totient is φ = 3767838009600.

The previous prime is 13518156311029. The next prime is 13518156311089. The reversal of 13518156311058 is 85011365181531.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13518156310998 and 13518156311016.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192913348 + ... + 192983408.

It is an arithmetic number, because the mean of its divisors is an integer number (335624584428).

Almost surely, 213518156311058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13518156311058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16109980052544).

13518156311058 is an abundant number, since it is smaller than the sum of its proper divisors (18701803794030).

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

13518156311058 is a wasteful number, since it uses less digits than its factorization.

13518156311058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86128 (or 86121 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 48.

The spelling of 13518156311058 in words is "thirteen trillion, five hundred eighteen billion, one hundred fifty-six million, three hundred eleven thousand, fifty-eight".

Divisors: 1 2 3 6 7 14 21 41 42 49 82 98 123 147 246 287 294 574 861 1722 2009 4018 6027 12054 16007 32014 48021 70061 96042 112049 140122 210183 224098 336147 420366 490427 656287 672294 784343 980854 1312574 1471281 1568686 1968861 2353029 2872501 2942562 3432989 3937722 4594009 4706058 5745002 6865978 8617503 9188018 10298967 13782027 17235006 20107507 20597934 27564054 32158063 40215014 60322521 64316126 96474189 120645042 140752549 192948378 281505098 422257647 844515294 1121466427 2242932854 3364399281 6728798562 7850264989 15700529978 23550794967 45980123507 47101589934 54951854923 91960247014 109903709846 137940370521 164855564769 275880741042 321860864549 329711129538 643721729098 965582593647 1931165187294 2253026051843 4506052103686 6759078155529 13518156311058