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30889167348 = 223131722329789
BaseRepresentation
bin11100110001001000…
…110100100111110100
32221201201102021200010
4130301020310213310
51001230111323343
622105034020220
72142314406324
oct346110644764
987651367603
1030889167348
1112111147686
125ba0877670
132bb3667c20
1416d0585284
15c0bc15d33
hex7312349f4

30889167348 has 144 divisors (see below), whose sum is σ = 86041146240. Its totient is φ = 8556066816.

The previous prime is 30889167341. The next prime is 30889167409. The reversal of 30889167348 is 84376198803.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30889167341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1022038 + ... + 1051826.

It is an arithmetic number, because the mean of its divisors is an integer number (597507960).

Almost surely, 230889167348 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30889167348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43020573120).

30889167348 is an abundant number, since it is smaller than the sum of its proper divisors (55151978892).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30889167348 is a wasteful number, since it uses less digits than its factorization.

30889167348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29866 (or 29847 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 30889167348 in words is "thirty billion, eight hundred eighty-nine million, one hundred sixty-seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 17 23 26 34 39 46 51 52 68 69 78 92 102 138 156 204 221 276 289 299 391 442 578 598 663 782 867 884 897 1156 1173 1196 1326 1564 1734 1794 2346 2652 3468 3588 3757 4692 5083 6647 7514 10166 11271 13294 15028 15249 19941 20332 22542 26588 29789 30498 39882 45084 59578 60996 79764 86411 89367 119156 172822 178734 259233 345644 357468 387257 506413 518466 685147 774514 1012826 1036932 1161771 1370294 1519239 1549028 2025652 2055441 2323542 2740588 3038478 4110882 4647084 6076956 6583369 8221764 8609021 8906911 11647499 13166738 17218042 17813822 19750107 23294998 25827063 26333476 26720733 34436084 34942497 35627644 39500214 46589996 51654126 53441466 69884994 79000428 103308252 106882932 111917273 139769988 151417487 198007483 223834546 302834974 335751819 396014966 447669092 454252461 594022449 605669948 671503638 792029932 908504922 1188044898 1343007276 1817009844 2376089796 2574097279 5148194558 7722291837 10296389116 15444583674 30889167348