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12673690392000 = 2635311231120773
BaseRepresentation
bin1011100001101101001011…
…0100000101010111000000
31122212121000021101221021110
42320123102310011113000
53130121204220021000
642542114001123320
72445433601606361
oct270332264052700
948777007357243
1012673690392000
114046977907610
1215082b5329540
1370c17c203031
1431b5a4a37b68
1516ea12368850
hexb86d2d055c0

12673690392000 has 448 divisors, whose sum is σ = 45674890380288. Its totient is φ = 3070932480000.

The previous prime is 12673690391987. The next prime is 12673690392017. The reversal of 12673690392000 is 29309637621.

It is a happy number.

It is a super-2 number, since 2×126736903920002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 610093614 + ... + 610114386.

Almost surely, 212673690392000 is an apocalyptic number.

12673690392000 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 12673690392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22837445190144).

12673690392000 is an abundant number, since it is smaller than the sum of its proper divisors (33001199988288).

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

12673690392000 is a wasteful number, since it uses less digits than its factorization.

12673690392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23125 (or 23105 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 48.

The spelling of 12673690392000 in words is "twelve trillion, six hundred seventy-three billion, six hundred ninety million, three hundred ninety-two thousand".