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3749000112 = 243511213613
BaseRepresentation
bin1101111101110101…
…0011001110110000
3100200021101221100000
43133131103032300
530134221000422
61420002030000
7161621655324
oct33735231660
910607357300
103749000112
111654238300
12887648300
1347991bb80
14277c97984
1516e1e4cac
hexdf7533b0

3749000112 has 360 divisors, whose sum is σ = 12900636112. Its totient is φ = 1046960640.

The previous prime is 3749000111. The next prime is 3749000119. The reversal of 3749000112 is 2110009473.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3749000111) 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 71 ways as a sum of consecutive naturals, for example, 6115518 + ... + 6116130.

Almost surely, 23749000112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3749000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6450318056).

3749000112 is an abundant number, since it is smaller than the sum of its proper divisors (9151636000).

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

3749000112 is a wasteful number, since it uses less digits than its factorization.

3749000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 3749000112 is about 61229.0789739647. The cubic root of 3749000112 is about 1553.4781569470.

Adding to 3749000112 its reverse (2110009473), we get a palindrome (5859009585).

The spelling of 3749000112 in words is "three billion, seven hundred forty-nine million, one hundred twelve", and thus it is an aban number.