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1661946132 = 223731124771
BaseRepresentation
bin110001100001111…
…0100100100010100
311021211020121111110
41203003310210110
511400424234012
6432525135020
756120211000
oct14303644424
94254217443
101661946132
11783141800
123a46ba470
132064147a2
1411aa1b700
159ad8873c
hex630f4914

1661946132 has 288 divisors, whose sum is σ = 5148057600. Its totient is φ = 416539200.

The previous prime is 1661946109. The next prime is 1661946151. The reversal of 1661946132 is 2316491661.

It is a super-2 number, since 2×16619461322 = 5524129891339522848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23407657 + ... + 23407727.

It is an arithmetic number, because the mean of its divisors is an integer number (17875200).

Almost surely, 21661946132 is an apocalyptic number.

1661946132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1661946132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574028800).

1661946132 is an abundant number, since it is smaller than the sum of its proper divisors (3486111468).

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

1661946132 is a wasteful number, since it uses less digits than its factorization.

1661946132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 141 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 1661946132 is about 40766.9735447703. The cubic root of 1661946132 is about 1184.5106804894.

The spelling of 1661946132 in words is "one billion, six hundred sixty-one million, nine hundred forty-six thousand, one hundred thirty-two".