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422974629792 = 25321113176771127
BaseRepresentation
bin1100010011110110100…
…00001010011110100000
31111102202211101111012100
412021323100022132200
523412223001123132
6522151210130400
742362464013661
oct6117320123640
91442684344170
10422974629792
11153423173850
1269b85420a00
1330b6a386940
1416687569368
15b00889637c
hex627b40a7a0

422974629792 has 1152 divisors, whose sum is σ = 1552090595328. Its totient is φ = 107296358400.

The previous prime is 422974629743. The next prime is 422974629811. The reversal of 422974629792 is 297926479224.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 3330508833 + ... + 3330508959.

It is an arithmetic number, because the mean of its divisors is an integer number (1347300864).

Almost surely, 2422974629792 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 422974629792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776045297664).

422974629792 is an abundant number, since it is smaller than the sum of its proper divisors (1129115965536).

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

422974629792 is a wasteful number, since it uses less digits than its factorization.

422974629792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 311 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 422974629792 in words is "four hundred twenty-two billion, nine hundred seventy-four million, six hundred twenty-nine thousand, seven hundred ninety-two".