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30179470932 = 2232131711333569
BaseRepresentation
bin11100000110110101…
…100010111001010100
32212220020222222012200
4130012311202321110
5443301421032212
621510402444500
72115606161502
oct340665427124
985806888180
1030179470932
1111887585216
125a23063730
132acc612210
141664205672
15bb977a6dc
hex706d62e54

30179470932 has 144 divisors (see below), whose sum is σ = 87760305360. Its totient is φ = 8662155264.

The previous prime is 30179470921. The next prime is 30179470991. The reversal of 30179470932 is 23907497103.

30179470932 is a `hidden beast` number, since 3 + 0 + 179 + 470 + 9 + 3 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10725916356 + 19453554576 = 103566^2 + 139476^2 .

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 882244 + ... + 915812.

It is an arithmetic number, because the mean of its divisors is an integer number (609446565).

Almost surely, 230179470932 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 30179470932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43880152680).

30179470932 is an abundant number, since it is smaller than the sum of its proper divisors (57580834428).

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

30179470932 is a wasteful number, since it uses less digits than its factorization.

30179470932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33722 (or 33717 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 30179470932 in words is "thirty billion, one hundred seventy-nine million, four hundred seventy thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 113 117 153 156 204 221 226 234 306 339 442 452 468 612 663 678 884 1017 1326 1356 1469 1921 1989 2034 2652 2938 3842 3978 4068 4407 5763 5876 7684 7956 8814 11526 13221 17289 17628 23052 24973 26442 33569 34578 49946 52884 67138 69156 74919 99892 100707 134276 149838 201414 224757 299676 302121 402828 436397 449514 570673 604242 872794 899028 1141346 1208484 1309191 1712019 1745588 2282692 2618382 3424038 3793297 3927573 5136057 5236764 6848076 7418749 7586594 7855146 10272114 11379891 14837498 15173188 15710292 20544228 22256247 22759782 29674996 34139673 44512494 45519564 49312861 64486049 66768741 68279346 89024988 98625722 128972098 133537482 136558692 147938583 193458147 197251444 257944196 267074964 295877166 386916294 443815749 580374441 591754332 773832588 838318637 887631498 1160748882 1676637274 1775262996 2321497764 2514955911 3353274548 5029911822 7544867733 10059823644 15089735466 30179470932