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989434434989 = 7111310381111833
BaseRepresentation
bin11100110010111101110…
…00110101010110101101
310111120220101110010000102
432121132320311112231
5112202330203404424
62034312341440445
7131325051634340
oct16313670652655
93446811403012
10989434434989
11351686a42590
1213b913710125
13723c337b320
1435c63142457
151ab0dddd7ae
hexe65ee355ad

989434434989 has 64 divisors (see below), whose sum is σ = 1343136657408. Its totient is φ = 703843084800.

The previous prime is 989434434973. The next prime is 989434435051.

989434434989 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 989434434989 - 24 = 989434434973 is a prime.

It is a super-2 number, since 2×9894344349892 (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 (989434431989) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83610617 + ... + 83622449.

It is an arithmetic number, because the mean of its divisors is an integer number (20986510272).

Almost surely, 2989434434989 is an apocalyptic number.

It is an amenable number.

989434434989 is a deficient number, since it is larger than the sum of its proper divisors (353702222419).

989434434989 is a wasteful number, since it uses less digits than its factorization.

989434434989 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12778.

The product of its digits is 967458816, while the sum is 74.

The spelling of 989434434989 in words is "nine hundred eighty-nine billion, four hundred thirty-four million, four hundred thirty-four thousand, nine hundred eighty-nine".

Divisors: 1 7 11 13 77 91 103 143 721 811 1001 1133 1339 5677 7931 8921 9373 10543 11833 14729 62447 73801 82831 83533 103103 115973 130163 153829 584731 811811 911141 918863 1076803 1085929 1218799 1692119 6432041 7601503 8531593 9596563 11844833 11945219 13406789 15844387 67175941 83616533 93847523 105562193 110910709 124755319 174288257 738935351 873287233 988445989 1220017799 1372308509 6919121923 9606159563 10872905879 12849797857 76110341153 89948584999 141347776427 989434434989