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30496024176 = 24319208916007
BaseRepresentation
bin11100011001101101…
…000110011001110000
32220201022122112121220
4130121231012121300
5444423440233201
622002031345040
72126501633322
oct343155063160
986638575556
1030496024176
1111a2a235372
125ab1082180
132b50087627
141694287612
15bd7459036
hex719b46670

30496024176 has 80 divisors (see below), whose sum is σ = 82972665600. Its totient is φ = 9625112064.

The previous prime is 30496024151. The next prime is 30496024177. The reversal of 30496024176 is 67142069403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30496024177) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1897165 + ... + 1913171.

It is an arithmetic number, because the mean of its divisors is an integer number (1037158320).

Almost surely, 230496024176 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 30496024176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41486332800).

30496024176 is an abundant number, since it is smaller than the sum of its proper divisors (52476641424).

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

30496024176 is a wasteful number, since it uses less digits than its factorization.

30496024176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18126 (or 18120 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 30496024176 in words is "thirty billion, four hundred ninety-six million, twenty-four thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 2089 4178 6267 8356 12534 16007 16712 25068 32014 33424 39691 48021 50136 64028 79382 96042 100272 119073 128056 158764 192084 238146 256112 304133 317528 384168 476292 608266 635056 768336 912399 952584 1216532 1824798 1905168 2433064 3649596 4866128 7299192 14598384 33438623 66877246 100315869 133754492 200631738 267508984 401263476 535017968 635333837 802526952 1270667674 1605053904 1906001511 2541335348 3812003022 5082670696 7624006044 10165341392 15248012088 30496024176