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75755755552 = 2561157247193
BaseRepresentation
bin100011010001101100…
…1010001100000100000
321020112112211010011011
41012203121101200200
52220121433134202
654445100430304
75321204204041
oct1064331214040
9236475733134
1075755755552
112a145170444
1212822548394
1371b3a37679
1439492068c8
151e85a9ebd7
hex11a3651820

75755755552 has 48 divisors (see below), whose sum is σ = 152555282712. Its totient is φ = 37019473920.

The previous prime is 75755755531. The next prime is 75755755553. The reversal of 75755755552 is 25555755757.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26167591696 + 49588163856 = 161764^2 + 222684^2 .

It is not an unprimeable number, because it can be changed into a prime (75755755553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182868 + ... + 430060.

Almost surely, 275755755552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75755755552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76277641356).

75755755552 is an abundant number, since it is smaller than the sum of its proper divisors (76799527160).

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

75755755552 is a wasteful number, since it uses less digits than its factorization.

75755755552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247421 (or 247413 counting only the distinct ones).

The product of its digits is 53593750, while the sum is 58.

The spelling of 75755755552 in words is "seventy-five billion, seven hundred fifty-five million, seven hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 61 122 157 244 314 488 628 976 1256 1952 2512 5024 9577 19154 38308 76616 153232 247193 306464 494386 988772 1977544 3955088 7910176 15078773 30157546 38809301 60315092 77618602 120630184 155237204 241260368 310474408 482520736 620948816 1241897632 2367367361 4734734722 9469469444 18938938888 37877877776 75755755552