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12893333292 = 2232773700877
BaseRepresentation
bin11000000001000000…
…01010011100101100
31020021120002012020200
430000200022130230
5202401143131132
65531220513500
7634336344660
oct140040123454
936246065220
1012893333292
115516a50154
1225b9b4b890
1312a62658c8
148a45208a0
15506dd1d7c
hex30080a72c

12893333292 has 72 divisors (see below), whose sum is σ = 37757699616. Its totient is φ = 3633341184.

The previous prime is 12893333281. The next prime is 12893333293. The reversal of 12893333292 is 29233339821.

12893333292 is a `hidden beast` number, since 1 + 28 + 9 + 3 + 333 + 292 = 666.

It is not an unprimeable number, because it can be changed into a prime (12893333293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 332043 + ... + 368834.

Almost surely, 212893333292 is an apocalyptic number.

12893333292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12893333292 is an abundant number, since it is smaller than the sum of its proper divisors (24864366324).

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

12893333292 is a wasteful number, since it uses less digits than its factorization.

12893333292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700967 (or 700962 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The spelling of 12893333292 in words is "twelve billion, eight hundred ninety-three million, three hundred thirty-three thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 146 219 252 292 438 511 657 876 1022 1314 1533 2044 2628 3066 4599 6132 9198 18396 700877 1401754 2102631 2803508 4205262 4906139 6307893 8410524 9812278 12615786 14718417 19624556 25231572 29436834 44155251 51164021 58873668 88310502 102328042 153492063 176621004 204656084 306984126 358148147 460476189 613968252 716296294 920952378 1074444441 1432592588 1841904756 2148888882 3223333323 4297777764 6446666646 12893333292