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1006066557 = 32111785173
BaseRepresentation
bin111011111101110…
…101101101111101
32121010002110212100
4323331311231331
54030023112212
6243455255313
733634265436
oct7375655575
92533073770
101006066557
11476997771
12240b1a539
13130582572
149788a48d
155d4cdbdc
hex3bf75b7d

1006066557 has 6 divisors (see below), whose sum is σ = 1453207262. Its totient is φ = 670711032.

The previous prime is 1006066547. The next prime is 1006066559. The reversal of 1006066557 is 7556606001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 985080996 + 20985561 = 31386^2 + 4581^2 .

It is not a de Polignac number, because 1006066557 - 214 = 1006050173 is a prime.

It is a super-2 number, since 2×10060665572 = 2024339834227668498, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006066559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55892578 + ... + 55892595.

Almost surely, 21006066557 is an apocalyptic number.

It is an amenable number.

1006066557 is a deficient number, since it is larger than the sum of its proper divisors (447140705).

1006066557 is a wasteful number, since it uses less digits than its factorization.

1006066557 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111785179 (or 111785176 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 1006066557 is about 31718.5522525856. The cubic root of 1006066557 is about 1002.0181101583.

The spelling of 1006066557 in words is "one billion, six million, sixty-six thousand, five hundred fifty-seven".

Divisors: 1 3 9 111785173 335355519 1006066557