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427857396480 = 283456167651
BaseRepresentation
bin1100011100111100100…
…10011100001100000000
31111220101010011201220000
412032132102130030000
524002222443141410
6524315512520000
742624463602243
oct6163622341400
91456333151800
10427857396480
111554a9389718
126ab086b0000
1331467b499b7
14169cbc3125a
15b1e2391dc0
hex639e49c300

427857396480 has 360 divisors, whose sum is σ = 1556072582064. Its totient is φ = 112223232000.

The previous prime is 427857396457. The next prime is 427857396481. The reversal of 427857396480 is 84693758724.

427857396480 is a `hidden beast` number, since 4 + 2 + 7 + 85 + 73 + 9 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (427857396481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6290655 + ... + 6358305.

Almost surely, 2427857396480 is an apocalyptic number.

427857396480 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 427857396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778036291032).

427857396480 is an abundant number, since it is smaller than the sum of its proper divisors (1128215185584).

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

427857396480 is an equidigital number, since it uses as much as digits as its factorization.

427857396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67745 (or 67722 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 427857396480 in words is "four hundred twenty-seven billion, eight hundred fifty-seven million, three hundred ninety-six thousand, four hundred eighty".