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488035916433 = 32134171247149
BaseRepresentation
bin1110001101000010011…
…01010001101010010001
31201122201001200021222100
413012201031101222101
530443444143311213
61012111155231013
750154661562262
oct7064115215221
91648631607870
10488035916433
11178a7a60842a
127a7022a8469
13370385801a0
141989a2b4969
15ca65609773
hex71a1351a91

488035916433 has 12 divisors (see below), whose sum is σ = 759166981300. Its totient is φ = 300329794656.

The previous prime is 488035916429. The next prime is 488035916453. The reversal of 488035916433 is 334619530884.

488035916433 is a `hidden beast` number, since 4 + 8 + 8 + 0 + 3 + 591 + 6 + 43 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59676138369 + 428359778064 = 244287^2 + 654492^2 .

It is not a de Polignac number, because 488035916433 - 22 = 488035916429 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 488035916433.

It is not an unprimeable number, because it can be changed into a prime (488035916453) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2085623458 + ... + 2085623691.

Almost surely, 2488035916433 is an apocalyptic number.

It is an amenable number.

488035916433 is a deficient number, since it is larger than the sum of its proper divisors (271131064867).

488035916433 is a wasteful number, since it uses less digits than its factorization.

488035916433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171247168 (or 4171247165 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 488035916433 in words is "four hundred eighty-eight billion, thirty-five million, nine hundred sixteen thousand, four hundred thirty-three".

Divisors: 1 3 9 13 39 117 4171247149 12513741447 37541224341 54226212937 162678638811 488035916433