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4132166000 = 24532066083
BaseRepresentation
bin1111011001001011…
…1101100101110000
3101122222101210010012
43312102331211300
531430313303000
61522010354052
7204253555124
oct36622754560
911588353105
104132166000
111830555526
12973a2b928
1350b118051
142b2b19584
15192b80735
hexf64bd970

4132166000 has 40 divisors (see below), whose sum is σ = 9991582224. Its totient is φ = 1652865600.

The previous prime is 4132165981. The next prime is 4132166009. The reversal of 4132166000 is 6612314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132166009) 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, 1031042 + ... + 1035041.

Almost surely, 24132166000 is an apocalyptic number.

4132166000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4132166000 is an abundant number, since it is smaller than the sum of its proper divisors (5859416224).

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

4132166000 is a wasteful number, since it uses less digits than its factorization.

4132166000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2066106 (or 2066090 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 4132166000 is about 64281.9259201216. The cubic root of 4132166000 is about 1604.6953223227.

Adding to 4132166000 its reverse (6612314), we get a palindrome (4138778314).

The spelling of 4132166000 in words is "four billion, one hundred thirty-two million, one hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2066083 4132166 8264332 10330415 16528664 20660830 33057328 41321660 51652075 82643320 103304150 165286640 206608300 258260375 413216600 516520750 826433200 1033041500 2066083000 4132166000