Search a number
-
+
30987617089 = 11213212312
BaseRepresentation
bin11100110111000000…
…011000001101000001
32221222120200001022211
4130313000120031001
51001430312221324
622122512102121
72144621253652
oct346700301501
987876601284
1030987617089
111216177a400
126009834941
132bcab87c00
1416dd691529
15c156b1294
hex737018341

30987617089 has 27 divisors (see below), whose sum is σ = 36912357027. Its totient is φ = 25982470800.

The previous prime is 30987617069. The next prime is 30987617107. The reversal of 30987617089 is 98071678903.

The square root of 30987617089 is 176033.

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., 4583967025 + 26403650064 = 67705^2 + 162492^2 .

It is not a de Polignac number, because 30987617089 - 215 = 30987584321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30987617029) 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, 25172104 + ... + 25173334.

Almost surely, 230987617089 is an apocalyptic number.

30987617089 is the 176033-rd square number.

30987617089 is the 88017-th centered octagonal number.

It is an amenable number.

30987617089 is a deficient number, since it is larger than the sum of its proper divisors (5924739938).

30987617089 is an equidigital number, since it uses as much as digits as its factorization.

30987617089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2510 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 58.

The spelling of 30987617089 in words is "thirty billion, nine hundred eighty-seven million, six hundred seventeen thousand, eighty-nine".

Divisors: 1 11 13 121 143 169 1231 1573 1859 13541 16003 20449 148951 176033 208039 1515361 1936363 2288429 16668971 19699693 25172719 183358681 216696623 256096009 2383662853 2817056099 30987617089