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30016482984 = 2334160128933
BaseRepresentation
bin11011111101000111…
…110010111010101000
32212110220022022210000
4123331013302322220
5442433204423414
621442301223000
72111556616125
oct337507627250
985426268700
1030016482984
1111803581a34
125998561a60
132aa4916747
14164a6d974c
15baa2d2b09
hex6fd1f2ea8

30016482984 has 80 divisors (see below), whose sum is σ = 84129366420. Its totient is φ = 9998899200.

The previous prime is 30016482983. The next prime is 30016483033. The reversal of 30016482984 is 48928461003.

It is a happy number.

30016482984 is a `hidden beast` number, since 300 + 16 + 48 + 298 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25866288900 + 4150194084 = 160830^2 + 64422^2 .

It is not an unprimeable number, because it can be changed into a prime (30016482983) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1022982 + ... + 1051914.

Almost surely, 230016482984 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 30016482984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42064683210).

30016482984 is an abundant number, since it is smaller than the sum of its proper divisors (54112883436).

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

30016482984 is a wasteful number, since it uses less digits than its factorization.

30016482984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30552 (or 30539 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 30016482984 in words is "thirty billion, sixteen million, four hundred eighty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1601 3202 4803 6404 9606 12808 14409 19212 28818 28933 38424 43227 57636 57866 86454 86799 115272 115732 129681 172908 173598 231464 259362 260397 345816 347196 518724 520794 694392 781191 1037448 1041588 1562382 2083176 2343573 3124764 4687146 6249528 9374292 18748584 46321733 92643466 138965199 185286932 277930398 370573864 416895597 555860796 833791194 1111721592 1250686791 1667582388 2501373582 3335164776 3752060373 5002747164 7504120746 10005494328 15008241492 30016482984