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474320000000 = 2105772112
BaseRepresentation
bin1101110011011111010…
…11001101010000000000
31200100022011202112210102
412321233223031100000
530232401410000000
61001522151421532
746161043322600
oct6715753152000
91610264675712
10474320000000
11173181302400
1277b149848a8
1335960a885c2
1418d5882ac00
15c5113de3d5
hex6e6facd400

474320000000 has 792 divisors, whose sum is σ = 1515455788392. Its totient is φ = 147840000000.

The previous prime is 474319999969. The next prime is 474320000009. The reversal of 474320000000 is 23474.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 469214040064 + 5105959936 = 684992^2 + 71456^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (474320000009) 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 71 ways as a sum of consecutive naturals, for example, 43119999995 + ... + 43120000005.

Almost surely, 2474320000000 is an apocalyptic number.

474320000000 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 474320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757727894196).

474320000000 is an abundant number, since it is smaller than the sum of its proper divisors (1041135788392).

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

474320000000 is an frugal number, since it uses more digits than its factorization.

474320000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

Multiplying 474320000000 by its sum of digits (20), we get a square (9486400000000 = 30800002).

474320000000 divided by its sum of digits (20) gives a square (23716000000 = 1540002).

Adding to 474320000000 its reverse (23474), we get a palindrome (474320023474).

The spelling of 474320000000 in words is "four hundred seventy-four billion, three hundred twenty million", and thus it is an aban number.