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422271230976 = 21032729672
BaseRepresentation
bin1100010010100010101…
…00111010010000000000
31111100221210211010102100
412021101110322100000
523404302413342401
6521553321550400
742336163145400
oct6112124722000
91440853733370
10422271230976
111530a2112911
1269a09945400
1330a8772751a
141661bd88800
15aeb6c51b86
hex625153a400

422271230976 has 297 divisors, whose sum is σ = 1419836531139. Its totient is φ = 120524156928.

The previous prime is 422271230957. The next prime is 422271231007. The reversal of 422271230976 is 679032172224.

The square root of 422271230976 is 649824.

It is a perfect power (a square), and thus also a powerful number.

422271230976 is a `hidden beast` number, since 4 + 2 + 2 + 271 + 2 + 309 + 76 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 436681245 + ... + 436682211.

Almost surely, 2422271230976 is an apocalyptic number.

422271230976 is the 649824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422271230976

422271230976 is an abundant number, since it is smaller than the sum of its proper divisors (997565300163).

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

422271230976 is an frugal number, since it uses more digits than its factorization.

422271230976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 422271230976 in words is "four hundred twenty-two billion, two hundred seventy-one million, two hundred thirty thousand, nine hundred seventy-six".