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30280278528 = 29327390017
BaseRepresentation
bin11100001100110110…
…000110001000000000
32220011021200112020100
4130030312012020000
5444003222403103
621524403242400
72121242056263
oct341466061000
986137615210
1030280278528
1111929478485
125a50979400
132b17479496
141673766cda
15bc353e5a3
hex70cd86200

30280278528 has 120 divisors (see below), whose sum is σ = 88589054268. Its totient is φ = 9955049472.

The previous prime is 30280278491. The next prime is 30280278529. The reversal of 30280278528 is 82587208203.

30280278528 is a `hidden beast` number, since 30 + 28 + 0 + 2 + 78 + 528 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28240130304 + 2040148224 = 168048^2 + 45168^2 .

It is not an unprimeable number, because it can be changed into a prime (30280278529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 291376 + ... + 381392.

Almost surely, 230280278528 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 30280278528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44294527134).

30280278528 is an abundant number, since it is smaller than the sum of its proper divisors (58308775740).

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

30280278528 is an equidigital number, since it uses as much as digits as its factorization.

30280278528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90114 (or 90095 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 30280278528 in words is "thirty billion, two hundred eighty million, two hundred seventy-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 128 144 146 192 219 256 288 292 384 438 512 576 584 657 768 876 1152 1168 1314 1536 1752 2304 2336 2628 3504 4608 4672 5256 7008 9344 10512 14016 18688 21024 28032 37376 42048 56064 84096 90017 112128 168192 180034 270051 336384 360068 540102 720136 810153 1080204 1440272 1620306 2160408 2880544 3240612 4320816 5761088 6481224 6571241 8641632 11522176 12962448 13142482 17283264 19713723 23044352 25924896 26284964 34566528 39427446 46088704 51849792 52569928 59141169 69133056 78854892 103699584 105139856 118282338 138266112 157709784 207399168 210279712 236564676 315419568 414798336 420559424 473129352 630839136 841118848 946258704 1261678272 1682237696 1892517408 2523356544 3364475392 3785034816 5046713088 7570069632 10093426176 15140139264 30280278528