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5501131506 = 2321327972269
BaseRepresentation
bin1010001111110010…
…01001101011110010
3112012101100102202100
411013321021223302
542231242202011
62305512201230
7253215563163
oct50771115362
915171312670
105501131506
112373277582
121096399216
1369891ba00
143a286d76a
15222e44d56
hex147e49af2

5501131506 has 72 divisors (see below), whose sum is σ = 12928390020. Its totient is φ = 1689787008.

The previous prime is 5501131451. The next prime is 5501131577. The reversal of 5501131506 is 6051311055.

5501131506 is a `hidden beast` number, since 5 + 501 + 1 + 3 + 150 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 53363025 + 5447768481 = 7305^2 + 73809^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5501131506.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2423340 + ... + 2425608.

Almost surely, 25501131506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5501131506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6464195010).

5501131506 is an abundant number, since it is smaller than the sum of its proper divisors (7427258514).

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

5501131506 is a wasteful number, since it uses less digits than its factorization.

5501131506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 5501131506 is about 74169.6130905373. The cubic root of 5501131506 is about 1765.2952081606.

The spelling of 5501131506 in words is "five billion, five hundred one million, one hundred thirty-one thousand, five hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 797 1014 1521 1594 2269 2391 3042 4538 4782 6807 7173 10361 13614 14346 20421 20722 29497 31083 40842 58994 62166 88491 93249 134693 176982 186498 265473 269386 383461 404079 530946 766922 808158 1150383 1212237 1808393 2300766 2424474 3451149 3616786 5425179 6902298 10850358 16275537 23509109 32551074 47018218 70527327 141054654 211581981 305618417 423163962 611236834 916855251 1833710502 2750565753 5501131506