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30151544164 = 22727921572
BaseRepresentation
bin11100000101001011…
…000000110101100100
32212211022110010212221
4130011023000311210
5443222243403124
621503524122124
72115116616400
oct340513006544
985738403787
1030151544164
1111872840445
125a15836344
132ac68b4ac1
141660616100
15bb70b0ce4
hex7052c0d64

30151544164 has 81 divisors (see below), whose sum is σ = 62565213753. Its totient is φ = 12677255136.

The previous prime is 30151544161. The next prime is 30151544173. The reversal of 30151544164 is 46144515103.

The square root of 30151544164 is 173642.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8837880100 + 21313664064 = 94010^2 + 145992^2 .

It is not an unprimeable number, because it can be changed into a prime (30151544161) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 192047974 + ... + 192048130.

Almost surely, 230151544164 is an apocalyptic number.

30151544164 is the 173642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30151544164

30151544164 is an abundant number, since it is smaller than the sum of its proper divisors (32413669589).

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

30151544164 is an equidigital number, since it uses as much as digits as its factorization.

30151544164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 30151544164 in words is "thirty billion, one hundred fifty-one million, five hundred forty-four thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 79 98 157 158 196 314 316 553 628 1099 1106 2198 2212 3871 4396 6241 7693 7742 12403 12482 15386 15484 24649 24806 24964 30772 43687 49298 49612 86821 87374 98596 172543 173642 174748 305809 345086 347284 607747 611618 690172 979837 1207801 1215494 1223236 1947271 1959674 2415602 2430988 3894542 3919348 4831204 6858859 7789084 13630897 13717718 27261794 27435436 48012013 54523588 95416279 96024026 153834409 190832558 192048052 307668818 381665116 615337636 1076840863 2153681726 4307363452 7537886041 15075772082 30151544164