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5505361424 = 24312379677
BaseRepresentation
bin1010010000010010…
…10010011000010000
3112012200022100002222
411020021102120100
542233333031144
62310143000212
7253266541253
oct51011223020
915180270088
105505361424
1123756a6582
121097899068
13699770114
143a325109a
152234cd2ee
hex148252610

5505361424 has 60 divisors (see below), whose sum is σ = 11320879212. Its totient is φ = 2591619840.

The previous prime is 5505361369. The next prime is 5505361453. The reversal of 5505361424 is 4241635055.

It can be written as a sum of positive squares in 2 ways, for example, as 4400995600 + 1104365824 = 66340^2 + 33232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 564074 + ... + 573750.

Almost surely, 25505361424 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 5505361424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660439606).

5505361424 is an abundant number, since it is smaller than the sum of its proper divisors (5815517788).

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

5505361424 is a wasteful number, since it uses less digits than its factorization.

5505361424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9784 (or 9747 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The square root of 5505361424 is about 74198.1227794882. The cubic root of 5505361424 is about 1765.7475478859.

Adding to 5505361424 its reverse (4241635055), we get a palindrome (9746996479).

The spelling of 5505361424 in words is "five billion, five hundred five million, three hundred sixty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 31 37 62 74 124 148 248 296 496 592 961 1147 1922 2294 3844 4588 7688 9176 9677 15376 18352 19354 35557 38708 71114 77416 142228 154832 284456 299987 358049 568912 599974 716098 1199948 1432196 2399896 2864392 4799792 5728784 9299597 11099519 18599194 22199038 37198388 44398076 74396776 88796152 148793552 177592304 344085089 688170178 1376340356 2752680712 5505361424