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1006108664 = 231183913627
BaseRepresentation
bin111011111101111…
…111111111111000
32121010011121121212
4323331333333320
54030030434124
6243500222252
733634532261
oct7375777770
92533147555
101006108664
11476a16370
12240b3a988
13130598792
149789b968
155d4db40e
hex3bf7fff8

1006108664 has 32 divisors (see below), whose sum is σ = 2060553600. Its totient is φ = 456743520.

The previous prime is 1006108657. The next prime is 1006108669. The reversal of 1006108664 is 4668016001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1006108664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006108669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67019 + ... + 80645.

It is an arithmetic number, because the mean of its divisors is an integer number (64392300).

Almost surely, 21006108664 is an apocalyptic number.

It is an amenable number.

1006108664 is an abundant number, since it is smaller than the sum of its proper divisors (1054444936).

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

1006108664 is a wasteful number, since it uses less digits than its factorization.

1006108664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14483 (or 14479 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 1006108664 is about 31719.2160054438. The cubic root of 1006108664 is about 1002.0320891499.

The spelling of 1006108664 in words is "one billion, six million, one hundred eight thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 44 88 839 1678 3356 6712 9229 13627 18458 27254 36916 54508 73832 109016 149897 299794 599588 1199176 11433053 22866106 45732212 91464424 125763583 251527166 503054332 1006108664