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989816781961 = 7238980964189
BaseRepresentation
bin11100110011101011010…
…11010111110010001001
310111121220000220100110101
432121311223113302021
5112204121044010321
62034414320445401
7131340403553500
oct16316553276211
93447800810411
10989816781961
11351862850517
1213b9bb779861
137245464b837
1435c9bc2d837
151ab32766791
hexe675ad7c89

989816781961 has 24 divisors (see below), whose sum is σ = 1155824397000. Its totient is φ = 845174179584.

The previous prime is 989816781953. The next prime is 989816782001. The reversal of 989816781961 is 169187618989.

It can be written as a sum of positive squares in 4 ways, for example, as 280920140361 + 708896641600 = 530019^2 + 841960^2 .

It is not a de Polignac number, because 989816781961 - 23 = 989816781953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (989816782961) 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, 15388255 + ... + 15452443.

It is an arithmetic number, because the mean of its divisors is an integer number (48159349875).

Almost surely, 2989816781961 is an apocalyptic number.

It is an amenable number.

989816781961 is a deficient number, since it is larger than the sum of its proper divisors (166007615039).

989816781961 is a wasteful number, since it uses less digits than its factorization.

989816781961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65401 (or 65394 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 73.

The spelling of 989816781961 in words is "nine hundred eighty-nine billion, eight hundred sixteen million, seven hundred eighty-one thousand, nine hundred sixty-one".

Divisors: 1 7 49 389 809 2723 5663 19061 39641 64189 314701 449323 2202907 3145261 15420349 24969521 51928901 174786647 363502307 1223506529 2544516149 20200342489 141402397423 989816781961