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84953679381 = 3293710073957
BaseRepresentation
bin100111100011110100…
…0100100011000010101
322010021120100001121200
41033013220210120111
52342441120220011
6103005512103113
76065142234354
oct1170750443025
9263246301550
1084953679381
113303515678a
121456a994a99
13801b4c5c4c
14417ca1d99b
152323325856
hex13c7a24615

84953679381 has 12 divisors (see below), whose sum is σ = 122841843852. Its totient is φ = 56575336896.

The previous prime is 84953679379. The next prime is 84953679431. The reversal of 84953679381 is 18397635948.

84953679381 is a `hidden beast` number, since 8 + 4 + 9 + 536 + 7 + 93 + 8 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2316978225 + 82636701156 = 48135^2 + 287466^2 .

It is not a de Polignac number, because 84953679381 - 21 = 84953679379 is a prime.

It is a super-2 number, since 2×849536793812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84953679781) 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, 5028546 + ... + 5045411.

It is an arithmetic number, because the mean of its divisors is an integer number (10236820321).

Almost surely, 284953679381 is an apocalyptic number.

It is an amenable number.

84953679381 is a deficient number, since it is larger than the sum of its proper divisors (37888164471).

84953679381 is a wasteful number, since it uses less digits than its factorization.

84953679381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10074900 (or 10074897 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 84953679381 in words is "eighty-four billion, nine hundred fifty-three million, six hundred seventy-nine thousand, three hundred eighty-one".

Divisors: 1 3 9 937 2811 8433 10073957 30221871 90665613 9439297709 28317893127 84953679381