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427638318642 = 2337919228123
BaseRepresentation
bin1100011100100010011…
…10101110011000110010
31111212210211221102121000
412032101032232120302
524001300402144032
6524242045142430
742616163506323
oct6162116563062
91455724842530
10427638318642
111553a6756257
126aa6725aa16
1331431642c42
14169aaac444a
15b1cd019e7c
hex63913ae632

427638318642 has 16 divisors (see below), whose sum is σ = 950307374880. Its totient is φ = 142546106196.

The previous prime is 427638318637. The next prime is 427638318647. The reversal of 427638318642 is 246813836724.

427638318642 is a `hidden beast` number, since 42 + 7 + 6 + 383 + 186 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (427638318637) and next prime (427638318647).

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 7919228123 = 427638318642 / (4 + 2 + 7 + 6 + 3 + 8 + 3 + 1 + 8 + 6 + 4 + 2).

It is not an unprimeable number, because it can be changed into a prime (427638318647) 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 7 ways as a sum of consecutive naturals, for example, 3959614008 + ... + 3959614115.

It is an arithmetic number, because the mean of its divisors is an integer number (59394210930).

Almost surely, 2427638318642 is an apocalyptic number.

427638318642 is an abundant number, since it is smaller than the sum of its proper divisors (522669056238).

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

427638318642 is a wasteful number, since it uses less digits than its factorization.

427638318642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7919228134 (or 7919228128 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 427638318642 in words is "four hundred twenty-seven billion, six hundred thirty-eight million, three hundred eighteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 7919228123 15838456246 23757684369 47515368738 71273053107 142546106214 213819159321 427638318642