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427933707057 = 32139342073307
BaseRepresentation
bin1100011101000101101…
…01100010101100110001
31111220120102202201022200
412032202311202230301
524002402012111212
6524331240253413
742626411331123
oct6164265425461
91456512681280
10427933707057
1115553846aa0a
126ab2a171269
133147a8b799c
14169d8017213
15b1e8e176dc
hex63a2d62b31

427933707057 has 12 divisors (see below), whose sum is σ = 622573420560. Its totient is φ = 283236697368.

The previous prime is 427933707041. The next prime is 427933707059. The reversal of 427933707057 is 750707339724.

427933707057 is a `hidden beast` number, since 427 + 9 + 33 + 70 + 70 + 57 = 666.

It is not a de Polignac number, because 427933707057 - 24 = 427933707041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 427933706994 and 427933707012.

It is not an unprimeable number, because it can be changed into a prime (427933707059) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 171035403 + ... + 171037904.

It is an arithmetic number, because the mean of its divisors is an integer number (51881118380).

Almost surely, 2427933707057 is an apocalyptic number.

It is an amenable number.

427933707057 is a deficient number, since it is larger than the sum of its proper divisors (194639713503).

427933707057 is a wasteful number, since it uses less digits than its factorization.

427933707057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342073452 (or 342073449 counting only the distinct ones).

The product of its (nonzero) digits is 7779240, while the sum is 54.

The spelling of 427933707057 in words is "four hundred twenty-seven billion, nine hundred thirty-three million, seven hundred seven thousand, fifty-seven".

Divisors: 1 3 9 139 417 1251 342073307 1026219921 3078659763 47548189673 142644569019 427933707057