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75645101988 = 22382882377
BaseRepresentation
bin100011001110011001…
…1001010011110100100
321020020211121100000000
41012130303022132210
52214410121230423
654430105021300
75315361520641
oct1063463123644
9236224540000
1075645101988
112a098762815
12127b1484830
137196b339a1
143938640dc8
151e7aee3843
hex119ccca7a4

75645101988 has 54 divisors (see below), whose sum is σ = 198558373286. Its totient is φ = 25215025248.

The previous prime is 75645101969. The next prime is 75645101989. The reversal of 75645101988 is 88910154657.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 65847665664 + 9797436324 = 256608^2 + 98982^2 .

It is a tau number, because it is divible by the number of its divisors (54).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (75645101989) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1414945 + ... + 1467432.

Almost surely, 275645101988 is an apocalyptic number.

It is an amenable number.

75645101988 is an abundant number, since it is smaller than the sum of its proper divisors (122913271298).

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

75645101988 is an equidigital number, since it uses as much as digits as its factorization.

75645101988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882405 (or 2882382 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 75645101988 in words is "seventy-five billion, six hundred forty-five million, one hundred one thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 13122 26244 2882377 5764754 8647131 11529508 17294262 25941393 34588524 51882786 77824179 103765572 155648358 233472537 311296716 466945074 700417611 933890148 1400835222 2101252833 2801670444 4202505666 6303758499 8405011332 12607516998 18911275497 25215033996 37822550994 75645101988