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99606516025 = 52172472792
BaseRepresentation
bin101110011000100000…
…0101101000100111001
3100112002202020021201011
41130301000231010321
53112443232003100
6113431505153521
710124225262622
oct1346100550471
9315082207634
1099606516025
1139274310835
121737a02b8a1
13951513cca3
144b6cab4a49
1528ce911bba
hex173102d139

99606516025 has 81 divisors (see below), whose sum is σ = 135774251949. Its totient is φ = 72473007360.

The previous prime is 99606516013. The next prime is 99606516043. The reversal of 99606516025 is 52061560699.

The square root of 99606516025 is 315605.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2329896361 + 97276619664 = 48269^2 + 311892^2 .

It is not a de Polignac number, because 99606516025 - 29 = 99606515513 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 99606516025.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1260841936 + ... + 1260842014.

Almost surely, 299606516025 is an apocalyptic number.

99606516025 is the 315605-th square number.

99606516025 is the 157803-rd centered octagonal number.

It is an amenable number.

99606516025 is a deficient number, since it is larger than the sum of its proper divisors (36167735924).

99606516025 is an equidigital number, since it uses as much as digits as its factorization.

99606516025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 49.

Multiplying 99606516025 by its sum of digits (49), we get a square (4880719285225 = 22092352).

The spelling of 99606516025 in words is "ninety-nine billion, six hundred six million, five hundred sixteen thousand, twenty-five".

Divisors: 1 5 17 25 47 79 85 235 289 395 425 799 1175 1343 1445 1975 2209 3713 3995 6241 6715 7225 11045 13583 18565 19975 22831 31205 33575 37553 55225 63121 67915 92825 106097 114155 156025 174511 187765 293327 315605 339575 530485 570775 638401 872555 938825 1073057 1466635 1578025 1803649 2652425 2966687 3192005 4362775 4986559 5365285 7333175 9018245 13786369 14833435 15960025 24932795 26826425 45091225 50433679 68931845 74167175 84771503 124663975 234368273 252168395 344659225 423857515 1171841365 1260841975 2119287575 3984260641 5859206825 19921303205 99606516025