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1131466644 = 2234721121931
BaseRepresentation
bin100001101110000…
…1100111110010100
32220212001110110000
41003130030332110
54304123413034
6304135131300
740016210400
oct10334147624
92825043400
101131466644
11530757700
12276b13b30
1315054a3b9
14aa3b0100
15694ee599
hex4370cf94

1131466644 has 540 divisors, whose sum is σ = 4109508480. Its totient is φ = 269438400.

The previous prime is 1131466607. The next prime is 1131466667. The reversal of 1131466644 is 4466641311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1131466599 and 1131466608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 36498909 + ... + 36498939.

Almost surely, 21131466644 is an apocalyptic number.

1131466644 is a gapful number since it is divisible by the number (14) 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 1131466644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054754240).

1131466644 is an abundant number, since it is smaller than the sum of its proper divisors (2978041836).

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

1131466644 is a wasteful number, since it uses less digits than its factorization.

1131466644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 73 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 1131466644 is about 33637.2805678461. The cubic root of 1131466644 is about 1042.0308701280.

The spelling of 1131466644 in words is "one billion, one hundred thirty-one million, four hundred sixty-six thousand, six hundred forty-four".