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427163412430080 = 283454120017481
BaseRepresentation
bin110000100100000001011101…
…1011101010111110100000000
32002000110102102200000011020000
41201020002323131113310000
5421442121132040230310
64112300055042120000
7155655352366655424
oct14110027335276400
92060412380004200
10427163412430080
1111411aa9320a387
123baab16a650000
131544744c382501
14776ab688d6b84
15345b779a114c0
hex18480bb757d00

427163412430080 has 180 divisors, whose sum is σ = 1528468805577252. Its totient is φ = 113910243287040.

The previous prime is 427163412430049. The next prime is 427163412430163. The reversal of 427163412430080 is 80034214361724.

427163412430080 is a `hidden beast` number, since 4 + 2 + 7 + 1 + 634 + 1 + 2 + 4 + 3 + 0 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 276403127141376 + 150760285288704 = 16625376^2 + 12278448^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2059905061 + ... + 2060112420.

Almost surely, 2427163412430080 is an apocalyptic number.

427163412430080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427163412430080 is an abundant number, since it is smaller than the sum of its proper divisors (1101305393147172).

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

427163412430080 is an equidigital number, since it uses as much as digits as its factorization.

427163412430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120017514 (or 4120017491 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 427163412430080 in words is "four hundred twenty-seven trillion, one hundred sixty-three billion, four hundred twelve million, four hundred thirty thousand, eighty".