Search a number
-
+
70291265625 = 3256721012
BaseRepresentation
bin100000101110110101…
…1111001100001011001
320201102201102021012100
41001131223321201121
52122424031000000
652142533434013
75035611620400
oct1013553714131
9221381367170
1070291265625
11278a0650269
121175849b909
1368228a7989
14358b594637
151c65e96a00
hex105daf9859

70291265625 has 189 divisors, whose sum is σ = 149109868713. Its totient is φ = 31815000000.

The previous prime is 70291265623. The next prime is 70291265651. The reversal of 70291265625 is 52656219207.

The square root of 70291265625 is 265125.

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

70291265625 is a `hidden beast` number, since 7 + 0 + 2 + 9 + 12 + 6 + 5 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 68498928729 + 1792336896 = 261723^2 + 42336^2 .

It is not a de Polignac number, because 70291265625 - 21 = 70291265623 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (70291265623) 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 188 ways as a sum of consecutive naturals, for example, 695953075 + ... + 695953175.

Almost surely, 270291265625 is an apocalyptic number.

70291265625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

70291265625 is the 265125-th square number.

70291265625 is the 132563-rd centered octagonal number.

It is an amenable number.

70291265625 is an abundant number, since it is smaller than the sum of its proper divisors (78818603088).

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

70291265625 is an frugal number, since it uses more digits than its factorization.

70291265625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 70291265625 in words is "seventy billion, two hundred ninety-one million, two hundred sixty-five thousand, six hundred twenty-five".