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427357326312 = 233272297158831
BaseRepresentation
bin1100011100000000111…
…10110100101111101000
31111212002021012112120200
412032000132310233220
524000211433420222
6524154130352200
742606212223600
oct6160036645750
91455067175520
10427357326312
11155272084594
126a9a912b660
13313b836b9a7
141698165bc00
15b1b3512eac
hex63807b4be8

427357326312 has 288 divisors, whose sum is σ = 1412462188800. Its totient is φ = 116229254400.

The previous prime is 427357326281. The next prime is 427357326367. The reversal of 427357326312 is 213623753724.

427357326312 is a `hidden beast` number, since 4 + 2 + 7 + 3 + 5 + 7 + 3 + 2 + 631 + 2 = 666.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 7234737 + ... + 7293567.

It is an arithmetic number, because the mean of its divisors is an integer number (4904382600).

Almost surely, 2427357326312 is an apocalyptic number.

427357326312 is a gapful number since it is divisible by the number (42) 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 427357326312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706231094400).

427357326312 is an abundant number, since it is smaller than the sum of its proper divisors (985104862488).

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

427357326312 is a wasteful number, since it uses less digits than its factorization.

427357326312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58957 (or 58943 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 45.

The spelling of 427357326312 in words is "four hundred twenty-seven billion, three hundred fifty-seven million, three hundred twenty-six thousand, three hundred twelve".