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81026177625 = 3253292483561
BaseRepresentation
bin100101101110110001…
…0010101101001011001
321202010212001022001200
41023131202111221121
52311420200141000
6101120052104413
75565622101051
oct1133542255131
9252125038050
1081026177625
11313aa18a568
1213853605109
137843909203
143cc917c561
152193621500
hex12dd895a59

81026177625 has 48 divisors (see below), whose sum is σ = 151099912080. Its totient is φ = 41723808000.

The previous prime is 81026177593. The next prime is 81026177629. The reversal of 81026177625 is 52677162018.

81026177625 is a `hidden beast` number, since 8 + 1 + 0 + 2 + 6 + 17 + 7 + 625 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10260069264 + 70766108361 = 101292^2 + 266019^2 .

It is not a de Polignac number, because 81026177625 - 25 = 81026177593 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 (81026177629) 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 47 ways as a sum of consecutive naturals, for example, 1209156 + ... + 1274405.

It is an arithmetic number, because the mean of its divisors is an integer number (3147914835).

Almost surely, 281026177625 is an apocalyptic number.

It is an amenable number.

81026177625 is a deficient number, since it is larger than the sum of its proper divisors (70073734455).

81026177625 is a wasteful number, since it uses less digits than its factorization.

81026177625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483611 (or 2483598 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 81026177625 in words is "eighty-one billion, twenty-six million, one hundred seventy-seven thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 125 145 225 261 375 435 725 1125 1305 2175 3625 6525 10875 32625 2483561 7450683 12417805 22352049 37253415 62089025 72023269 111760245 186267075 216069807 310445125 360116345 558801225 648209421 931335375 1080349035 1800581725 2794006125 3241047105 5401745175 9002908625 16205235525 27008725875 81026177625