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5016113325 = 345229229373
BaseRepresentation
bin1001010101111101…
…11101000010101101
3110221120200221220000
410222332331002231
540233111111300
62145424414513
7235206155046
oct45276750255
913846627800
105016113325
112144513203
12b7ba77439
1361c2b0bc2
143582978cd
151e558ac00
hex12afbd0ad

5016113325 has 120 divisors (see below), whose sum is σ = 9679830600. Its totient is φ = 2564835840.

The previous prime is 5016113303. The next prime is 5016113329. The reversal of 5016113325 is 5233116105.

5016113325 is a `hidden beast` number, since 501 + 6 + 1 + 133 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 284461956 + 4731651369 = 16866^2 + 68787^2 .

It is not a de Polignac number, because 5016113325 - 27 = 5016113197 is a prime.

It is a super-2 number, since 2×50161133252 = 50322785778485111250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5016113329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13447839 + ... + 13448211.

It is an arithmetic number, because the mean of its divisors is an integer number (80665255).

Almost surely, 25016113325 is an apocalyptic number.

It is an amenable number.

5016113325 is a deficient number, since it is larger than the sum of its proper divisors (4663717275).

5016113325 is a wasteful number, since it uses less digits than its factorization.

5016113325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 5016113325 is about 70824.5248836870. The cubic root of 5016113325 is about 1711.8108701828.

It can be divided in two parts, 5016 and 113325, that added together give a triangular number (118341 = T486).

The spelling of 5016113325 in words is "five billion, sixteen million, one hundred thirteen thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 81 87 135 145 225 229 261 373 405 435 675 687 725 783 1119 1145 1305 1865 2025 2061 2175 2349 3357 3435 3915 5595 5725 6183 6525 6641 9325 10071 10305 10817 11745 16785 17175 18549 19575 19923 27975 30213 30915 32451 33205 50355 51525 54085 58725 59769 83925 85417 92745 97353 99615 151065 154575 162255 166025 179307 251775 256251 270425 292059 298845 427085 463725 486765 498075 537921 755325 768753 811275 876177 896535 1281255 1460295 1494225 2135425 2306259 2433825 2477093 2689605 3843765 4380885 4482675 6406275 6918777 7301475 7431279 11531295 12385465 13448025 19218825 21904425 22293837 34593885 37156395 57656475 61927325 66881511 111469185 172969425 185781975 200644533 334407555 557345925 1003222665 1672037775 5016113325