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422589340448 = 251123123372
BaseRepresentation
bin1100010011001000100…
…10011001101100100000
31111101202222101202120122
412021210102121230200
523410430332343243
6522045044055412
742350105061302
oct6114422315440
91441688352518
10422589340448
11153245736200
1269a98394568
1330b085c6092
141664c313972
15aed4b3b668
hex6264499b20

422589340448 has 162 divisors, whose sum is σ = 947745765729. Its totient is φ = 185338137600.

The previous prime is 422589340447. The next prime is 422589340457. The reversal of 422589340448 is 844043985224.

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 2 ways, for example, as 398832667024 + 23756673424 = 631532^2 + 154132^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=459668.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 422589340448.

It is not an unprimeable number, because it can be changed into a prime (422589340447) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1253974136 + ... + 1253974472.

Almost surely, 2422589340448 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 422589340448

422589340448 is an abundant number, since it is smaller than the sum of its proper divisors (525156425281).

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

422589340448 is an equidigital number, since it uses as much as digits as its factorization.

422589340448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 53.

The spelling of 422589340448 in words is "four hundred twenty-two billion, five hundred eighty-nine million, three hundred forty thousand, four hundred forty-eight".