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5503089280 = 27513677977
BaseRepresentation
bin1010010000000001…
…00111101010000000
3112012112000220022111
411020000213222000
542232242324110
62310022145104
7253241326033
oct51000475200
915175026274
105503089280
112374394477
121096b82194
13699155b60
143a2c1d01a
152231cee8a
hex148027a80

5503089280 has 128 divisors (see below), whose sum is σ = 14203259280. Its totient is φ = 2026831872.

The previous prime is 5503089247. The next prime is 5503089281. The reversal of 5503089280 is 829803055.

It can be written as a sum of positive squares in 8 ways, for example, as 4534136896 + 968952384 = 67336^2 + 31128^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5503089281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5632152 + ... + 5633128.

Almost surely, 25503089280 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 5503089280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7101629640).

5503089280 is an abundant number, since it is smaller than the sum of its proper divisors (8700170000).

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

5503089280 is a wasteful number, since it uses less digits than its factorization.

5503089280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 5503089280 is about 74182.8098685942. The cubic root of 5503089280 is about 1765.5045977593.

The spelling of 5503089280 in words is "five billion, five hundred three million, eighty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 677 832 977 1040 1354 1664 1954 2080 2708 3385 3908 4160 4885 5416 6770 7816 8320 8801 9770 10832 12701 13540 15632 17602 19540 21664 25402 27080 31264 35204 39080 43328 44005 50804 54160 62528 63505 70408 78160 86656 88010 101608 108320 125056 127010 140816 156320 176020 203216 216640 254020 281632 312640 352040 406432 433280 508040 563264 625280 661429 704080 812864 1016080 1126528 1322858 1408160 1625728 2032160 2645716 2816320 3307145 4064320 5291432 5632640 6614290 8128640 8598577 10582864 13228580 17197154 21165728 26457160 34394308 42331456 42992885 52914320 68788616 84662912 85985770 105828640 137577232 171971540 211657280 275154464 343943080 423314560 550308928 687886160 1100617856 1375772320 2751544640 5503089280