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12549904640 = 285713163661
BaseRepresentation
bin10111011000000100…
…00101100100000000
31012101121212012200222
423230002011210000
5201200233422030
65433152002212
7622666300160
oct135402054400
935347765628
1012549904640
115360104119
122522b30368
1312500707a0
14870a845a0
154d6b953e5
hex2ec085900

12549904640 has 288 divisors, whose sum is σ = 37281382656. Its totient is φ = 3941498880.

The previous prime is 12549904597. The next prime is 12549904649. The reversal of 12549904640 is 4640994521.

It is a junction number, because it is equal to n+sod(n) for n = 12549904591 and 12549904600.

It is not an unprimeable number, because it can be changed into a prime (12549904649) 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 31 ways as a sum of consecutive naturals, for example, 18985910 + ... + 18986570.

Almost surely, 212549904640 is an apocalyptic number.

12549904640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12549904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18640691328).

12549904640 is an abundant number, since it is smaller than the sum of its proper divisors (24731478016).

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

12549904640 is a wasteful number, since it uses less digits than its factorization.

12549904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 12549904640 in words is "twelve billion, five hundred forty-nine million, nine hundred four thousand, six hundred forty".