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492962693472 = 253329167117811
BaseRepresentation
bin1110010110001101101…
…11011100000101100000
31202010102102021111112000
413023012313130011200
531034041422142342
61014244113204000
750421034520604
oct7130667340540
91663372244460
10492962693472
11180078652997
127b658260600
13376421b2282
1419c06755504
15cc52dea44c
hex72c6ddc160

492962693472 has 192 divisors, whose sum is σ = 1496306649600. Its totient is φ = 157703293440.

The previous prime is 492962693453. The next prime is 492962693477. The reversal of 492962693472 is 274396269294.

492962693472 is a `hidden beast` number, since 4 + 9 + 29 + 6 + 269 + 347 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492962693477) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4125447 + ... + 4243257.

It is an arithmetic number, because the mean of its divisors is an integer number (7793263800).

Almost surely, 2492962693472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492962693472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748153324800).

492962693472 is an abundant number, since it is smaller than the sum of its proper divisors (1003343956128).

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

492962693472 is a wasteful number, since it uses less digits than its factorization.

492962693472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118026 (or 118012 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The spelling of 492962693472 in words is "four hundred ninety-two billion, nine hundred sixty-two million, six hundred ninety-three thousand, four hundred seventy-two".