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12948794496 = 2732114124923
BaseRepresentation
bin11000000111100111…
…01110110010000000
31020102102102220201100
430003303232302000
5203004342410441
65540521334400
7635611636311
oct140363566200
936372386640
1012948794496
115545290a60
122614637400
1312b48b39a1
148aba3a608
1550bbd9cb6
hex303ceec80

12948794496 has 192 divisors, whose sum is σ = 41642022240. Its totient is φ = 3828019200.

The previous prime is 12948794471. The next prime is 12948794501. The reversal of 12948794496 is 69449784921.

12948794496 is a `hidden beast` number, since 1 + 29 + 487 + 9 + 44 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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, 507091 + ... + 532013.

Almost surely, 212948794496 is an apocalyptic number.

12948794496 is a gapful number since it is divisible by the number (16) 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 12948794496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20821011120).

12948794496 is an abundant number, since it is smaller than the sum of its proper divisors (28693227744).

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

12948794496 is a wasteful number, since it uses less digits than its factorization.

12948794496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24995 (or 24980 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 12948794496 in words is "twelve billion, nine hundred forty-eight million, seven hundred ninety-four thousand, four hundred ninety-six".