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492305660421120 = 210355713173137223
BaseRepresentation
bin110111111101111111101100…
…0000000101010010000000000
32101120002221221221012110100000
41233323333120000222100000
51004011413443031433440
64503014033113200000
7205460624126564340
oct15773773000522000
92346087857173300
10492305660421120
11132955726a20017
1247270175700000
13181912bc51c450
14897da149b4d20
153bdb000053730
hex1bfbfd802a400

492305660421120 has 8448 divisors, whose sum is σ = 2454949697421312. Its totient is φ = 91637699051520.

The previous prime is 492305660421041. The next prime is 492305660421121. The reversal of 492305660421120 is 21124066503294.

492305660421120 is a `hidden beast` number, since 4 + 9 + 2 + 3 + 0 + 5 + 6 + 604 + 2 + 11 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (492305660421121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2207648701329 + ... + 2207648701551.

Almost surely, 2492305660421120 is an apocalyptic number.

492305660421120 is a gapful number since it is divisible by the number (40) 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 492305660421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227474848710656).

492305660421120 is an abundant number, since it is smaller than the sum of its proper divisors (1962644037000192).

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

492305660421120 is a wasteful number, since it uses less digits than its factorization.

492305660421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 492305660421120 in words is "four hundred ninety-two trillion, three hundred five billion, six hundred sixty million, four hundred twenty-one thousand, one hundred twenty".