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12429603648 = 2632711280249
BaseRepresentation
bin10111001001101110…
…01011001101000000
31012002020111021202200
423210313023031000
5200423434304043
65413213313200
7620005613340
oct134467131500
935066437680
1012429603648
1152a9207210
1224aa795800
13123116c877
1485cacad20
154cb3307d3
hex2e4dcb340

12429603648 has 168 divisors, whose sum is σ = 44418504000. Its totient is φ = 3228456960.

The previous prime is 12429603647. The next prime is 12429603671. The reversal of 12429603648 is 84630692421.

12429603648 is a `hidden beast` number, since 12 + 4 + 29 + 603 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12429603643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95773 + ... + 184476.

Almost surely, 212429603648 is an apocalyptic number.

12429603648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12429603648 is an abundant number, since it is smaller than the sum of its proper divisors (31988900352).

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

12429603648 is a wasteful number, since it uses less digits than its factorization.

12429603648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280285 (or 280272 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 12429603648 in words is "twelve billion, four hundred twenty-nine million, six hundred three thousand, six hundred forty-eight".