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980397793089 = 32111317131342061
BaseRepresentation
bin11100100010001000100…
…00110001111101000001
310110201120121102010202200
432101010100301331001
5112030323313334324
62030215531103413
7130555112512521
oct16210420617501
93421517363680
10980397793089
11348869aa47a0
1213a0112a1b69
13715b313bb40
1435646d0d681
151a7808c4ec9
hexe444431f41

980397793089 has 96 divisors (see below), whose sum is σ = 1775022657408. Its totient is φ = 512269056000.

The previous prime is 980397793019. The next prime is 980397793099.

980397793089 is a `hidden beast` number, since 98 + 0 + 397 + 79 + 3 + 0 + 89 = 666.

980397793089 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 980397793089 - 27 = 980397792961 is a prime.

It is a super-2 number, since 2×9803977930892 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (980397793019) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2695119 + ... + 3037179.

It is an arithmetic number, because the mean of its divisors is an integer number (18489819348).

Almost surely, 2980397793089 is an apocalyptic number.

980397793089 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

It is an amenable number.

980397793089 is a deficient number, since it is larger than the sum of its proper divisors (794624864319).

980397793089 is a wasteful number, since it uses less digits than its factorization.

980397793089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342239 (or 342236 counting only the distinct ones).

The product of its (nonzero) digits is 185177664, while the sum is 72.

The spelling of 980397793089 in words is "nine hundred eighty billion, three hundred ninety-seven million, seven hundred ninety-three thousand, eighty-nine".

Divisors: 1 3 9 11 13 17 33 39 51 99 117 131 143 153 187 221 393 429 561 663 1179 1287 1441 1683 1703 1989 2227 2431 4323 5109 6681 7293 12969 15327 18733 20043 21879 24497 28951 56199 73491 86853 168597 220473 260559 318461 342061 955383 1026183 2866149 3078549 3762671 4446793 5815037 11288013 13340379 17445111 33864039 40021137 44809991 48914723 52335333 63965407 75595481 134429973 146744169 191896221 226786443 403289919 440232507 492909901 575688663 582529883 680359329 761769847 831550291 1478729703 1747589649 2285309541 2494650873 4436189109 5242768947 6407828713 6855928623 7483952619 8379468317 9903008011 19223486139 25138404951 29709024033 57670458417 75415214853 89127072099 108933088121 326799264363 980397793089