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15003134416 = 24238925147
BaseRepresentation
bin11011111100100000…
…11010100111010000
31102201121001012022001
431332100122213100
5221211300300131
610520425123344
71040535352444
oct157620324720
942647035261
1015003134416
1163a9972a46
122aa8629554
1315513a593a
14a247dc824
155cc233261
hex37e41a9d0

15003134416 has 60 divisors (see below), whose sum is σ = 30683027232. Its totient is φ = 7093411072.

The previous prime is 15003134383. The next prime is 15003134417. The reversal of 15003134416 is 61443130051.

15003134416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×150031344162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15003134417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2912355 + ... + 2917501.

Almost surely, 215003134416 is an apocalyptic number.

15003134416 is a gapful number since it is divisible by the number (16) 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 15003134416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15341513616).

15003134416 is an abundant number, since it is smaller than the sum of its proper divisors (15679892816).

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

15003134416 is an equidigital number, since it uses as much as digits as its factorization.

15003134416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5356 (or 5261 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 15003134416 its reverse (61443130051), we get a palindrome (76446264467).

The spelling of 15003134416 in words is "fifteen billion, three million, one hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 23 46 89 92 178 184 356 368 712 1424 2047 4094 5147 7921 8188 10294 15842 16376 20588 31684 32752 41176 63368 82352 118381 126736 182183 236762 364366 458083 473524 728732 916166 947048 1457464 1832332 1894096 2914928 3664664 7329328 10535909 21071818 40769387 42143636 81538774 84287272 163077548 168574544 326155096 652310192 937695901 1875391802 3750783604 7501567208 15003134416