Search a number
-
+
81416062225 = 5214923832
BaseRepresentation
bin100101111010011000…
…1101000010100010001
321210011000200111012001
41023310301220110101
52313220002442400
6101222500434001
75611365052621
oct1136461502421
9253130614161
1081416062225
113158a276643
12139420a8901
1378a6618564
143d24c6c881
1521b7987a6a
hex12f4c68511

81416062225 has 27 divisors (see below), whose sum is σ = 101904087313. Its totient is φ = 64526798240.

The previous prime is 81416062207. The next prime is 81416062229. The reversal of 81416062225 is 52226061418.

The square root of 81416062225 is 285335.

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 24298886161 + 57117176064 = 155881^2 + 238992^2 .

It is not a de Polignac number, because 81416062225 - 27 = 81416062097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (81416062229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 212574384 + ... + 212574766.

Almost surely, 281416062225 is an apocalyptic number.

81416062225 is the 285335-th square number.

81416062225 is the 142668-th centered octagonal number.

It is an amenable number.

81416062225 is a deficient number, since it is larger than the sum of its proper divisors (20488025088).

81416062225 is an frugal number, since it uses more digits than its factorization.

81416062225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 81416062225 in words is "eighty-one billion, four hundred sixteen million, sixty-two thousand, two hundred twenty-five".

Divisors: 1 5 25 149 383 745 1915 3725 9575 22201 57067 111005 146689 285335 555025 733445 1426675 3667225 8502983 21856661 42514915 109283305 212574575 546416525 3256642489 16283212445 81416062225