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426444471720 = 233251997642739
BaseRepresentation
bin1100011010010100001…
…00100011110110101000
31111202201122111201111100
412031022010203312220
523441324241043340
6523523401001400
742544456126131
oct6151204436650
91452648451440
10426444471720
11154943872403
126a793483260
13312a11c4347
14168d6316c88
15b15d2e7830
hex634a123da8

426444471720 has 192 divisors, whose sum is σ = 1473931368000. Its totient is φ = 106622521344.

The previous prime is 426444471697. The next prime is 426444471763. The reversal of 426444471720 is 27174444624.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 342111 + ... + 984849.

It is an arithmetic number, because the mean of its divisors is an integer number (7676725875).

Almost surely, 2426444471720 is an apocalyptic number.

426444471720 is a gapful number since it is divisible by the number (40) 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 426444471720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736965684000).

426444471720 is an abundant number, since it is smaller than the sum of its proper divisors (1047486896280).

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

426444471720 is a wasteful number, since it uses less digits than its factorization.

426444471720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642872 (or 642865 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 45.

The spelling of 426444471720 in words is "four hundred twenty-six billion, four hundred forty-four million, four hundred seventy-one thousand, seven hundred twenty".