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5504144100 = 2235271331193
BaseRepresentation
bin1010010000001001…
…01001001011100100
3112012121000111020220
411020010221023210
542233030102400
62310100524340
7253253311230
oct51004511344
915177014226
105504144100
112374a44a24
1210973b06b0
13699435000
143a30155c0
1522333c7a0
hex1481292e4

5504144100 has 288 divisors, whose sum is σ = 19732903680. Its totient is φ = 1160340480.

The previous prime is 5504144083. The next prime is 5504144201. The reversal of 5504144100 is 14414055.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4613104 + ... + 4614296.

Almost surely, 25504144100 is an apocalyptic number.

5504144100 is a gapful number since it is divisible by the number (50) 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 5504144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9866451840).

5504144100 is an abundant number, since it is smaller than the sum of its proper divisors (14228759580).

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

5504144100 is a wasteful number, since it uses less digits than its factorization.

5504144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 5504144100 is about 74189.9191265228. The cubic root of 5504144100 is about 1765.6173932269.

Adding to 5504144100 its reverse (14414055), we get a palindrome (5518558155).

The spelling of 5504144100 in words is "five billion, five hundred four million, one hundred forty-four thousand, one hundred".