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427636840464 = 24323697803273
BaseRepresentation
bin1100011100100010010…
…01000101100000010000
31111212210202011022220200
412032101021011200100
524001300012343324
6524241553335200
742616145111631
oct6162111054020
91455722138820
10427636840464
111553a5936719
126aa66867500
1331431246192
14169aa81b888
15b1ccd26ec9
hex6391245810

427636840464 has 60 divisors (see below), whose sum is σ = 1197114422556. Its totient is φ = 142506878976.

The previous prime is 427636840429. The next prime is 427636840469. The reversal of 427636840464 is 464048636724.

427636840464 is a `hidden beast` number, since 4 + 2 + 76 + 36 + 84 + 0 + 464 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77774054400 + 349862786064 = 278880^2 + 591492^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 427636840464.

It is not an unprimeable number, because it can be changed into a prime (427636840469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130732 + ... + 934004.

Almost surely, 2427636840464 is an apocalyptic number.

It is an amenable number.

427636840464 is an abundant number, since it is smaller than the sum of its proper divisors (769477582092).

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

427636840464 is a wasteful number, since it uses less digits than its factorization.

427636840464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806984 (or 806975 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 427636840464 in words is "four hundred twenty-seven billion, six hundred thirty-six million, eight hundred forty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 3697 7394 11091 14788 22182 29576 33273 44364 59152 66546 88728 133092 177456 266184 532368 803273 1606546 2409819 3213092 4819638 6426184 7229457 9639276 12852368 14458914 19278552 28917828 38557104 57835656 115671312 2969700281 5939400562 8909100843 11878801124 17818201686 23757602248 26727302529 35636403372 47515204496 53454605058 71272806744 106909210116 142545613488 213818420232 427636840464