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77350029127 = 73150172
BaseRepresentation
bin100100000001001101…
…0111100011101000111
321101122122201121100121
41020002122330131013
52231403101413002
655311211322411
75405543254000
oct1100232743507
9241578647317
1077350029127
112a893090808
1212ba8450407
1373a9116b07
143a5ac4a1a7
15202aa1c237
hex12026bc747

77350029127 has 12 divisors (see below), whose sum is σ = 90210122800. Its totient is φ = 66295609968.

The previous prime is 77350029103. The next prime is 77350029131. The reversal of 77350029127 is 72192005377.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 77350029127 - 27 = 77350028999 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77350021127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5143323 + ... + 5158339.

Almost surely, 277350029127 is an apocalyptic number.

77350029127 is a deficient number, since it is larger than the sum of its proper divisors (12860093673).

77350029127 is an frugal number, since it uses more digits than its factorization.

77350029127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30055 (or 15024 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 43.

The spelling of 77350029127 in words is "seventy-seven billion, three hundred fifty million, twenty-nine thousand, one hundred twenty-seven".

Divisors: 1 7 49 343 15017 105119 735833 5150831 225510289 1578572023 11050004161 77350029127