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427355239248 = 24357234315877
BaseRepresentation
bin1100011100000000101…
…10110111001101010000
31111212002010021111200000
412032000112313031100
524000210420123443
6524154013530000
742606155412060
oct6160026671520
91455063244600
10427355239248
11155270989543
126a9a84a3900
13313b7abaa42
14169812773a0
15b1b324e8d3
hex63805b7350

427355239248 has 480 divisors, whose sum is σ = 1513605789696. Its totient is φ = 114069441024.

The previous prime is 427355239219. The next prime is 427355239261. The reversal of 427355239248 is 842932553724.

427355239248 is a `hidden beast` number, since 4 + 2 + 73 + 5 + 523 + 9 + 2 + 48 = 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 = 427355239194 and 427355239203.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 26908686 + ... + 26924562.

Almost surely, 2427355239248 is an apocalyptic number.

427355239248 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 427355239248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756802894848).

427355239248 is an abundant number, since it is smaller than the sum of its proper divisors (1086250550448).

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

427355239248 is a wasteful number, since it uses less digits than its factorization.

427355239248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15973 (or 15955 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 427355239248 in words is "four hundred twenty-seven billion, three hundred fifty-five million, two hundred thirty-nine thousand, two hundred forty-eight".