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30974041872 = 2433433165587
BaseRepresentation
bin11100110110001100…
…100101111100010000
32221221122010100122000
4130312030211330100
51001413323314442
622121305114000
72144365004034
oct346614457420
987848110560
1030974041872
1112155048114
126005188900
132bc8113c37
1416db95a1c4
15c143cdd4c
hex736325f10

30974041872 has 80 divisors (see below), whose sum is σ = 89112838080. Its totient is φ = 10300773888.

The previous prime is 30974041829. The next prime is 30974041909. The reversal of 30974041872 is 27814047903.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 104263 + ... + 269849.

It is an arithmetic number, because the mean of its divisors is an integer number (1113910476).

Almost surely, 230974041872 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 30974041872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44556419040).

30974041872 is an abundant number, since it is smaller than the sum of its proper divisors (58138796208).

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

30974041872 is a wasteful number, since it uses less digits than its factorization.

30974041872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166037 (or 166025 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 30974041872 in words is "thirty billion, nine hundred seventy-four million, forty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 433 866 1299 1732 2598 3464 3897 5196 6928 7794 10392 11691 15588 20784 23382 31176 46764 62352 93528 165587 187056 331174 496761 662348 993522 1324696 1490283 1987044 2649392 2980566 3974088 4470849 5961132 7948176 8941698 11922264 17883396 23844528 35766792 71533584 71699171 143398342 215097513 286796684 430195026 573593368 645292539 860390052 1147186736 1290585078 1720780104 1935877617 2581170156 3441560208 3871755234 5162340312 7743510468 10324680624 15487020936 30974041872