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30083168025 = 32523123732
BaseRepresentation
bin11100000001000110…
…001011011100011001
32212122112210021110100
4130001012023130121
5443102242334100
621453042410013
72113326465141
oct340106133431
985575707410
1030083168025
1111838189439
1259b6960909
132ab5694451
1416554d7921
15bb10a6400
hex70118b719

30083168025 has 81 divisors (see below), whose sum is σ = 55826171037. Its totient is φ = 15485169600.

The previous prime is 30083167999. The next prime is 30083168039. The reversal of 30083168025 is 52086138003.

The square root of 30083168025 is 173445.

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

It can be written as a sum of positive squares in 4 ways, for example, as 289646361 + 29793521664 = 17019^2 + 172608^2 .

It is not a de Polignac number, because 30083168025 - 25 = 30083167993 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 80651739 + ... + 80652111.

Almost surely, 230083168025 is an apocalyptic number.

30083168025 is the 173445-th square number.

30083168025 is the 86723-rd centered octagonal number.

It is an amenable number.

30083168025 is a deficient number, since it is larger than the sum of its proper divisors (25743003012).

30083168025 is an equidigital number, since it uses as much as digits as its factorization.

30083168025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 30083168025 by its sum of digits (36), we get a square (1082994048900 = 10406702).

The spelling of 30083168025 in words is "thirty billion, eighty-three million, one hundred sixty-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 155 225 279 373 465 775 961 1119 1395 1865 2325 2883 3357 4805 5595 6975 8649 9325 11563 14415 16785 24025 27975 34689 43245 57815 72075 83925 104067 139129 173445 216225 289075 358453 417387 520335 695645 867225 1075359 1252161 1792265 2086935 2601675 3226077 3478225 4312999 5376795 6260805 8961325 10434675 12938997 16130385 21564995 26883975 31304025 38816991 64694985 80651925 107824975 133702969 194084955 323474925 401108907 668514845 970424775 1203326721 2005544535 3342574225 6016633605 10027722675 30083168025