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91442736025 = 5219723072
BaseRepresentation
bin101010100101001101…
…0010110101110011001
322202000210122021212221
41111022122112232121
52444233320023100
6110001435104041
76415015301014
oct1251232265631
9282023567787
1091442736025
113586504a013
121587bba2021
1388139b4a34
1445d677637b
1525a2d6401a
hex154a696b99

91442736025 has 27 divisors (see below), whose sum is σ = 114339931869. Its totient is φ = 72545770080.

The previous prime is 91442736019. The next prime is 91442736029. The reversal of 91442736025 is 52063724419.

The square root of 91442736025 is 302395.

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 21086234521 + 70356501504 = 145211^2 + 265248^2 .

It is not a de Polignac number, because 91442736025 - 23 = 91442736017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (91442736029) 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 26 ways as a sum of consecutive naturals, for example, 297858922 + ... + 297859228.

Almost surely, 291442736025 is an apocalyptic number.

91442736025 is the 302395-th square number.

91442736025 is the 151198-th centered octagonal number.

It is an amenable number.

91442736025 is a deficient number, since it is larger than the sum of its proper divisors (22897195844).

91442736025 is an frugal number, since it uses more digits than its factorization.

91442736025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 91442736025 in words is "ninety-one billion, four hundred forty-two million, seven hundred thirty-six thousand, twenty-five".

Divisors: 1 5 25 197 307 985 1535 4925 7675 38809 60479 94249 194045 302395 471245 970225 1511975 2356225 11914363 18567053 59571815 92835265 297859075 464176325 3657709441 18288547205 91442736025