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110198223648 = 25323126312
BaseRepresentation
bin110011010100001010…
…0110111001100100000
3101112102220101210002200
41212220110313030200
53301141221124043
6122342510213200
710650546305652
oct1465024671440
9345386353080
10110198223648
114280a02a507
12194351b4200
13a5125b17c6
1454956626d2
152cee7007d3
hex19a8537320

110198223648 has 162 divisors, whose sum is σ = 324325186731. Its totient is φ = 35491478400.

The previous prime is 110198223637. The next prime is 110198223661. The reversal of 110198223648 is 846322891011.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 55099111824 + 55099111824 = 234732^2 + 234732^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=234732.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 174640293 + ... + 174640923.

Almost surely, 2110198223648 is an apocalyptic number.

110198223648 is a gapful number since it is divisible by the number (18) 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 110198223648

110198223648 is an abundant number, since it is smaller than the sum of its proper divisors (214126963083).

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

110198223648 is an frugal number, since it uses more digits than its factorization.

110198223648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 110198223648 in words is "one hundred ten billion, one hundred ninety-eight million, two hundred twenty-three thousand, six hundred forty-eight".