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51998593024 = 212725092
BaseRepresentation
bin110000011011010110…
…111001000000000000
311222012212112012211201
4300123112321000000
51322443114434044
635515434150544
73520400514400
oct603326710000
9158185465751
1051998593024
1120063939624
12a0b2282454
134b98b43851
142733d40800
15154507a7d4
hexc1b5b9000

51998593024 has 117 divisors (see below), whose sum is σ = 121199663217. Its totient is φ = 22241329152.

The previous prime is 51998593019. The next prime is 51998593063. The reversal of 51998593024 is 42039589915.

The square root of 51998593024 is 228032.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 42284519424 + 9714073600 = 205632^2 + 98560^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 102158082 + ... + 102158590.

Almost surely, 251998593024 is an apocalyptic number.

51998593024 is the 228032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51998593024

51998593024 is an abundant number, since it is smaller than the sum of its proper divisors (69201070193).

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

51998593024 is an frugal number, since it uses more digits than its factorization.

51998593024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 55.

The spelling of 51998593024 in words is "fifty-one billion, nine hundred ninety-eight million, five hundred ninety-three thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 509 512 784 896 1018 1024 1568 1792 2036 2048 3136 3563 3584 4072 4096 6272 7126 7168 8144 12544 14252 14336 16288 24941 25088 28504 28672 32576 49882 50176 57008 65152 99764 100352 114016 130304 199528 200704 228032 259081 260608 399056 456064 518162 521216 798112 912128 1036324 1042432 1596224 1813567 1824256 2072648 2084864 3192448 3627134 3648512 4145296 6384896 7254268 7297024 8290592 12694969 12769792 14508536 14594048 16581184 25389938 25539584 29017072 33162368 50779876 51079168 58034144 66324736 101559752 102158336 116068288 132649472 203119504 232136576 265298944 406239008 464273152 530597888 812478016 928546304 1061195776 1624956032 1857092608 3249912064 3714185216 6499824128 7428370432 12999648256 25999296512 51998593024