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980993126817 = 34112383576743
BaseRepresentation
bin11100100011001111011…
…11110011000110100001
310110210010002122020010000
432101213233303012201
5112033033220024232
62030354555130213
7130605631665414
oct16214757630641
93423102566100
10980993126817
11349045055840
1213a158743969
1371679592812
14356a1dddb7b
151a7b7cc027c
hexe467bf31a1

980993126817 has 80 divisors (see below), whose sum is σ = 1688263492608. Its totient is φ = 561838986720.

The previous prime is 980993126809. The next prime is 980993126831. The reversal of 980993126817 is 718621399089.

It is not a de Polignac number, because 980993126817 - 23 = 980993126809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (980993125817) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1412548 + ... + 1989290.

Almost surely, 2980993126817 is an apocalyptic number.

It is an amenable number.

980993126817 is a deficient number, since it is larger than the sum of its proper divisors (707270365791).

980993126817 is a wasteful number, since it uses less digits than its factorization.

980993126817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576872 (or 576863 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 980993126817 in words is "nine hundred eighty billion, nine hundred ninety-three million, one hundred twenty-six thousand, eight hundred seventeen".

Divisors: 1 3 9 11 23 27 33 69 81 83 99 207 249 253 297 621 747 759 891 913 1863 1909 2241 2277 2739 5727 6723 6831 8217 17181 20493 20999 24651 51543 62997 73953 154629 188991 566973 576743 1700919 1730229 5190687 6344173 13265089 15572061 19032519 39795267 46716183 47869669 57097557 119385801 143609007 145915979 171292671 358157403 430827021 437747937 513878013 526566359 1074472209 1101002387 1292481063 1313243811 1579699077 3303007161 3877443189 3939731433 4739097231 9909021483 11819194299 12111026257 14217291693 29727064449 36333078771 42651875079 89181193347 108999236313 326997708939 980993126817