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1006134063 = 311157919309
BaseRepresentation
bin111011111110000…
…110001100101111
32121010012220110120
4323332012030233
54030032242223
6243500540023
733634666314
oct7376061457
92533186416
101006134063
11476a33460
12240b51613
131305a71cc
14978a6d0b
155d4e3be3
hex3bf8632f

1006134063 has 16 divisors (see below), whose sum is σ = 1464470400. Its totient is φ = 609360480.

The previous prime is 1006134049. The next prime is 1006134089. The reversal of 1006134063 is 3604316001.

It is not a de Polignac number, because 1006134063 - 210 = 1006133039 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006134013) 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 15 ways as a sum of consecutive naturals, for example, 42453 + ... + 61761.

It is an arithmetic number, because the mean of its divisors is an integer number (91529400).

Almost surely, 21006134063 is an apocalyptic number.

1006134063 is a deficient number, since it is larger than the sum of its proper divisors (458336337).

1006134063 is a wasteful number, since it uses less digits than its factorization.

1006134063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20902.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1006134063 is about 31719.6163753599. The cubic root of 1006134063 is about 1002.0405211082.

The spelling of 1006134063 in words is "one billion, six million, one hundred thirty-four thousand, sixty-three".

Divisors: 1 3 11 33 1579 4737 17369 19309 52107 57927 212399 637197 30488911 91466733 335378021 1006134063