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48512387072 = 2113121572
BaseRepresentation
bin101101001011100100…
…000100100000000000
311122012220121121022202
4231023210010200000
51243323132341242
634141500452332
73335116325552
oct551344044000
9148186547282
1048512387072
1119634a83486
12949a84a0a8
1347617c69a6
1424c2d334d2
1513dde95932
hexb4b904800

48512387072 has 108 divisors (see below), whose sum is σ = 100873572345. Its totient is φ = 23324221440.

The previous prime is 48512387069. The next prime is 48512387111. The reversal of 48512387072 is 27078321584.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 46338589696 + 2173797376 = 215264^2 + 46624^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=155744.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 308996018 + ... + 308996174.

Almost surely, 248512387072 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 48512387072

48512387072 is an abundant number, since it is smaller than the sum of its proper divisors (52361185273).

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

48512387072 is an frugal number, since it uses more digits than its factorization.

48512387072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 47.

The spelling of 48512387072 in words is "forty-eight billion, five hundred twelve million, three hundred eighty-seven thousand, seventy-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 157 248 256 314 496 512 628 961 992 1024 1256 1922 1984 2048 2512 3844 3968 4867 5024 7688 7936 9734 10048 15376 15872 19468 20096 24649 30752 31744 38936 40192 49298 61504 63488 77872 80384 98596 123008 150877 155744 160768 197192 246016 301754 311488 321536 394384 492032 603508 622976 764119 788768 984064 1207016 1245952 1528238 1577536 1968128 2414032 2491904 3056476 3155072 4828064 4983808 6112952 6310144 9656128 9967616 12225904 12620288 19312256 23687689 24451808 25240576 38624512 47375378 48903616 50481152 77249024 94750756 97807232 154498048 189501512 195614464 308996096 379003024 391228928 758006048 782457856 1516012096 1564915712 3032024192 6064048384 12128096768 24256193536 48512387072