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109982436496 = 2417248772
BaseRepresentation
bin110011001101101110…
…1101100110010010000
3101111212212100122202221
41212123131230302100
53300221000431441
6122305241150424
710642316166622
oct1463335546220
9344785318687
10109982436496
1142709244419
1219394a8b414
13a4a998a7ba
145474b30c12
152cda7c88d1
hex199b76cc90

109982436496 has 45 divisors (see below), whose sum is σ = 226409496619. Its totient is φ = 51745828352.

The previous prime is 109982436463. The next prime is 109982436497. The reversal of 109982436496 is 694634289901.

The square root of 109982436496 is 331636.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 447914896 + 109534521600 = 21164^2 + 330960^2 .

It is a super-2 number, since 2×1099824364962 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109982436497) 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 8 ways as a sum of consecutive naturals, for example, 22548810 + ... + 22553686.

Almost surely, 2109982436496 is an apocalyptic number.

109982436496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

109982436496 is the 331636-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109982436496

109982436496 is an abundant number, since it is smaller than the sum of its proper divisors (116427060123).

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

109982436496 is an frugal number, since it uses more digits than its factorization.

109982436496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9796 (or 4896 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 61.

The spelling of 109982436496 in words is "one hundred nine billion, nine hundred eighty-two million, four hundred thirty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 4877 9754 19508 39016 78032 82909 165818 331636 663272 1326544 1409453 2818906 5637812 11275624 22551248 23785129 47570258 95140516 190281032 380562064 404347193 808694386 1617388772 3234777544 6469555088 6873902281 13747804562 27495609124 54991218248 109982436496