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12918313512 = 233513511171
BaseRepresentation
bin11000000011111110…
…11101001000101000
31020100022002022200000
430001333131020220
5202424042013022
65533512143000
7635061565416
oct140177351050
936308068600
1012918313512
11552a062165
122606397a60
1312ab4a0ac0
148a79842b6
155091b86ac
hex301fdd228

12918313512 has 96 divisors (see below), whose sum is σ = 39073987680. Its totient is φ = 3974857920.

The previous prime is 12918313487. The next prime is 12918313543. The reversal of 12918313512 is 21531381921.

12918313512 is a `hidden beast` number, since 1 + 291 + 8 + 313 + 51 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230314 + ... + 280857.

It is an arithmetic number, because the mean of its divisors is an integer number (407020705).

Almost surely, 212918313512 is an apocalyptic number.

12918313512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12918313512 is an abundant number, since it is smaller than the sum of its proper divisors (26155674168).

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

12918313512 is a wasteful number, since it uses less digits than its factorization.

12918313512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511205 (or 511189 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The spelling of 12918313512 in words is "twelve billion, nine hundred eighteen million, three hundred thirteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 936 972 1053 1404 1944 2106 2808 3159 4212 6318 8424 12636 25272 511171 1022342 1533513 2044684 3067026 4089368 4600539 6134052 6645223 9201078 12268104 13290446 13801617 18402156 19935669 26580892 27603234 36804312 39871338 41404851 53161784 55206468 59807007 79742676 82809702 110412936 119614014 124214553 159485352 165619404 179421021 239228028 248429106 331238808 358842042 478456056 496858212 538263063 717684084 993716424 1076526126 1435368168 1614789189 2153052252 3229578378 4306104504 6459156756 12918313512