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93981884049 = 32312789120779
BaseRepresentation
bin101011110000111000…
…0011011111010010001
322222120202111101011100
41113201300123322101
53014433330242144
6111101421535013
76534646555644
oct1274160337221
9288522441140
1093981884049
1136948361559
121626a414469
138b29a6cca1
144797a97a5b
1526a0c24269
hex15e1c1be91

93981884049 has 24 divisors (see below), whose sum is σ = 140182099200. Its totient is φ = 60611231520.

The previous prime is 93981884039. The next prime is 93981884053. The reversal of 93981884049 is 94048818939.

It is not a de Polignac number, because 93981884049 - 221 = 93979786897 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (93981884039) 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 23 ways as a sum of consecutive naturals, for example, 717742 + ... + 838520.

It is an arithmetic number, because the mean of its divisors is an integer number (5840920800).

Almost surely, 293981884049 is an apocalyptic number.

It is an amenable number.

93981884049 is a deficient number, since it is larger than the sum of its proper divisors (46200215151).

93981884049 is a wasteful number, since it uses less digits than its factorization.

93981884049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123605 (or 123602 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 93981884049 in words is "ninety-three billion, nine hundred eighty-one million, eight hundred eighty-four thousand, forty-nine".

Divisors: 1 3 9 31 93 279 2789 8367 25101 86459 120779 259377 362337 778131 1087011 3744149 11232447 33697341 336852631 1010557893 3031673679 10442431561 31327294683 93981884049