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986949450981 = 321329290878117
BaseRepresentation
bin11100101110010101100…
…01010111110011100101
310111100111012111211210200
432113022301113303211
5112132233024412411
62033222011541113
7131206345626114
oct16271261276345
93440435454720
10986949450981
1135062126529a
1213b33b45a799
13720b85a88a0
1435aa90bdc7b
151aa15b7be56
hexe5cac57ce5

986949450981 has 24 divisors (see below), whose sum is σ = 1588194524280. Its totient is φ = 586410281856.

The previous prime is 986949450973. The next prime is 986949450997. The reversal of 986949450981 is 189054949689.

986949450981 is a `hidden beast` number, since 9 + 8 + 6 + 9 + 494 + 50 + 9 + 81 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6548481 + 986942902500 = 2559^2 + 993450^2 .

It is not a de Polignac number, because 986949450981 - 23 = 986949450973 is a prime.

It is a super-2 number, since 2×9869494509812 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (986949450911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145435666 + ... + 145442451.

It is an arithmetic number, because the mean of its divisors is an integer number (66174771845).

Almost surely, 2986949450981 is an apocalyptic number.

It is an amenable number.

986949450981 is a deficient number, since it is larger than the sum of its proper divisors (601245073299).

986949450981 is a wasteful number, since it uses less digits than its factorization.

986949450981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290878165 (or 290878162 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 986949450981 in words is "nine hundred eighty-six billion, nine hundred forty-nine million, four hundred fifty thousand, nine hundred eighty-one".

Divisors: 1 3 9 13 29 39 87 117 261 377 1131 3393 290878117 872634351 2617903053 3781415521 8435465393 11344246563 25306396179 34032739689 75919188537 109661050109 328983150327 986949450981