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93005103987 = 3319230892
BaseRepresentation
bin101011010011110001…
…0010100001101110011
322220001200111210211000
41112213202110031303
53010433301311422
6110420450053043
76501516224445
oct1264742241563
9286050453730
1093005103987
1136496a58204
121603727a183
138a025a2a13
144704072495
1526450cccac
hex15a7894373

93005103987 has 36 divisors (see below), whose sum is σ = 145465967640. Its totient is φ = 58721049792.

The previous prime is 93005103977. The next prime is 93005104039. The reversal of 93005103987 is 78930150039.

It is a happy number.

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 93005103987 - 211 = 93005101939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (93005103937) 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 35 ways as a sum of consecutive naturals, for example, 30106939 + ... + 30110027.

Almost surely, 293005103987 is an apocalyptic number.

93005103987 is a deficient number, since it is larger than the sum of its proper divisors (52460863653).

93005103987 is an frugal number, since it uses more digits than its factorization.

93005103987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6225 (or 3111 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 93005103987 in words is "ninety-three billion, five million, one hundred three thousand, nine hundred eighty-seven".

Divisors: 1 3 9 19 27 57 171 361 513 1083 3089 3249 9267 9747 27801 58691 83403 176073 528219 1115129 1584657 3345387 9541921 10036161 28625763 30108483 85877289 181296499 257631867 543889497 1631668491 3444633481 4895005473 10333900443 31001701329 93005103987