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12743972352 = 29341372243
BaseRepresentation
bin10111101111001100…
…11001011000000000
31012220011000212120000
423313212121120000
5202044424103402
65504323320000
7630543656226
oct136746313000
935804025500
1012743972352
11544a705061
122577b20000
13128132b857
1488c760b16
154e8c2bc1c
hex2f7999600

12743972352 has 200 divisors, whose sum is σ = 38332129176. Its totient is φ = 4215103488.

The previous prime is 12743972341. The next prime is 12743972357. The reversal of 12743972352 is 25327934721.

12743972352 is a `hidden beast` number, since 1 + 27 + 4 + 397 + 235 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12743972298 and 12743972307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12743972357) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5680543 + ... + 5682785.

Almost surely, 212743972352 is an apocalyptic number.

12743972352 is a gapful number since it is divisible by the number (12) 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 12743972352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19166064588).

12743972352 is an abundant number, since it is smaller than the sum of its proper divisors (25588156824).

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

12743972352 is an equidigital number, since it uses as much as digits as its factorization.

12743972352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2410 (or 2385 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The spelling of 12743972352 in words is "twelve billion, seven hundred forty-three million, nine hundred seventy-two thousand, three hundred fifty-two".