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422276824008 = 23321324321372
BaseRepresentation
bin1100010010100011010…
…10001111101111001000
31111100222012100021121200
412021101222033233020
523404310331332013
6521554041504200
742336261531534
oct6112152175710
91440865307550
10422276824008
111530a5292a56
1269a0b7a2060
1330a88935200
141661ca02bc4
15aeb74a8e73
hex6251a8fbc8

422276824008 has 324 divisors, whose sum is σ = 1277200086435. Its totient is φ = 125983323648.

The previous prime is 422276824007. The next prime is 422276824031. The reversal of 422276824008 is 800428672224.

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 5 ways, for example, as 90963766404 + 331313057604 = 301602^2 + 575598^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=459498.

It is not an unprimeable number, because it can be changed into a prime (422276824001) 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 80 ways as a sum of consecutive naturals, for example, 3082312516 + ... + 3082312652.

Almost surely, 2422276824008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422276824008

422276824008 is an abundant number, since it is smaller than the sum of its proper divisors (854923262427).

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

422276824008 is a wasteful number, since it uses less digits than its factorization.

422276824008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 422276824008 in words is "four hundred twenty-two billion, two hundred seventy-six million, eight hundred twenty-four thousand, eight".