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422697642048 = 26341131487491
BaseRepresentation
bin1100010011010101011…
…11100010100001000000
31111102001112012001110000
412021222233202201000
523411141044021143
6522103513240000
742352561450353
oct6115257424100
91442045161400
10422697642048
111532a0887860
1269b08703000
1330b24b85376
141665c86629a
15aede3d0bd3
hex626abe2840

422697642048 has 560 divisors, whose sum is σ = 1416789209088. Its totient is φ = 123451776000.

The previous prime is 422697642019. The next prime is 422697642049. The reversal of 422697642048 is 840246796224.

It is a happy number.

422697642048 is a `hidden beast` number, since 422 + 6 + 9 + 7 + 6 + 4 + 204 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 422697641985 and 422697642003.

It is not an unprimeable number, because it can be changed into a prime (422697642049) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 860891083 + ... + 860891573.

Almost surely, 2422697642048 is an apocalyptic number.

422697642048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422697642048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708394604544).

422697642048 is an abundant number, since it is smaller than the sum of its proper divisors (994091567040).

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

422697642048 is a wasteful number, since it uses less digits than its factorization.

422697642048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 422697642048 in words is "four hundred twenty-two billion, six hundred ninety-seven million, six hundred forty-two thousand, forty-eight".