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70546016025 = 3252177072
BaseRepresentation
bin100000110110011011…
…1101100011100011001
320202002110202221001100
41001230313230130121
52123434240003100
652224113542013
75045124146052
oct1015467543431
9222073687040
1070546016025
1127a11428a91
1211809874909
1368635c1664
1435b3349729
151c7d518400
hex106cdec719

70546016025 has 27 divisors (see below), whose sum is σ = 126362889471. Its totient is φ = 37622417040.

The previous prime is 70546016011. The next prime is 70546016039. The reversal of 70546016025 is 52061064507.

It is a happy number.

The square root of 70546016025 is 265605.

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

70546016025 is a `hidden beast` number, since 7 + 0 + 5 + 46 + 0 + 1 + 602 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (70546016011) and next prime (70546016039).

It can be written as a sum of positive squares in only one way, i.e., 25396565769 + 45149450256 = 159363^2 + 212484^2 .

It is not a de Polignac number, because 70546016025 - 25 = 70546015993 is a prime.

It is a Curzon number.

It is an unprimeable number.

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, 3975222 + ... + 3992928.

Almost surely, 270546016025 is an apocalyptic number.

70546016025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

70546016025 is the 265605-th square number.

70546016025 is the 132803-rd centered octagonal number.

It is an amenable number.

70546016025 is a deficient number, since it is larger than the sum of its proper divisors (55816873446).

70546016025 is an frugal number, since it uses more digits than its factorization.

70546016025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35430 (or 17715 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Multiplying 70546016025 by its sum of digits (36), we get a square (2539656576900 = 15936302).

The spelling of 70546016025 in words is "seventy billion, five hundred forty-six million, sixteen thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 17707 53121 88535 159363 265605 442675 796815 1328025 3984075 313537849 940613547 1567689245 2821840641 4703067735 7838446225 14109203205 23515338675 70546016025