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413792380420 = 225171217036413
BaseRepresentation
bin1100000010101111111…
…00101010011000000100
31110120001220100220001021
412001113330222120010
523234421322133140
6514032114440524
741616106125436
oct6012774523004
91416056326037
10413792380420
1114a541013a01
1268242293144
1330035c259a3
1416055c72656
15ab6c6b9b4a
hex6057f2a604

413792380420 has 24 divisors (see below), whose sum is σ = 920079528984. Its totient is φ = 155780660736.

The previous prime is 413792380399. The next prime is 413792380427. The reversal of 413792380420 is 24083297314.

It can be written as a sum of positive squares in 4 ways, for example, as 108584748484 + 305207631936 = 329522^2 + 552456^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (413792380427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 608517867 + ... + 608518546.

It is an arithmetic number, because the mean of its divisors is an integer number (38336647041).

Almost surely, 2413792380420 is an apocalyptic number.

It is an amenable number.

413792380420 is an abundant number, since it is smaller than the sum of its proper divisors (506287148564).

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

413792380420 is a wasteful number, since it uses less digits than its factorization.

413792380420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217036439 (or 1217036437 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 413792380420 in words is "four hundred thirteen billion, seven hundred ninety-two million, three hundred eighty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 1217036413 2434072826 4868145652 6085182065 12170364130 20689619021 24340728260 41379238042 82758476084 103448095105 206896190210 413792380420