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1066416631 = 77313715233
BaseRepresentation
bin111111100100000…
…011100111110111
32202022122120121021
4333210003213313
54141000313011
6253453002011
735266251250
oct7744034767
92668576537
101066416631
114a7a67665
12259183307
1313cc22977
14a18b9b27
1563950471
hex3f9039f7

1066416631 has 16 divisors (see below), whose sum is σ = 1244556864. Its totient is φ = 894910464.

The previous prime is 1066416607. The next prime is 1066416649. The reversal of 1066416631 is 1366146601.

It is not a de Polignac number, because 1066416631 - 25 = 1066416599 is a prime.

It is a super-2 number, since 2×10664166312 = 2274488861746780322, 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 (1066416931) 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, 62391 + ... + 77623.

It is an arithmetic number, because the mean of its divisors is an integer number (77784804).

Almost surely, 21066416631 is an apocalyptic number.

1066416631 is a deficient number, since it is larger than the sum of its proper divisors (178140233).

1066416631 is a wasteful number, since it uses less digits than its factorization.

1066416631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15450.

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 1066416631 is about 32656.0351390061. The cubic root of 1066416631 is about 1021.6660683318. Note that the first 3 decimals are identical.

The spelling of 1066416631 in words is "one billion, sixty-six million, four hundred sixteen thousand, six hundred thirty-one".

Divisors: 1 7 73 137 511 959 10001 15233 70007 106631 1112009 2086921 7784063 14608447 152345233 1066416631