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51432352000 = 28531607261
BaseRepresentation
bin101111111001100110…
…110110100100000000
311220202102001012011221
4233321212312210000
51320313140231000
635343325444424
73500353531051
oct577146664400
9156672035157
1051432352000
111a8a3249337
129b74710714
134b08737ba3
1426bca64728
1515104ca61a
hexbf99b6900

51432352000 has 72 divisors (see below), whose sum is σ = 128124497592. Its totient is φ = 20572928000.

The previous prime is 51432351989. The next prime is 51432352033. The reversal of 51432352000 is 25323415.

51432352000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 947654656 + 50484697344 = 30784^2 + 224688^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 771631 + ... + 835630.

It is an arithmetic number, because the mean of its divisors is an integer number (1779506911).

Almost surely, 251432352000 is an apocalyptic number.

51432352000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51432352000 is an abundant number, since it is smaller than the sum of its proper divisors (76692145592).

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

51432352000 is an equidigital number, since it uses as much as digits as its factorization.

51432352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607292 (or 1607268 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 51432352000 its reverse (25323415), we get a palindrome (51457675415).

The spelling of 51432352000 in words is "fifty-one billion, four hundred thirty-two million, three hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 16000 32000 1607261 3214522 6429044 8036305 12858088 16072610 25716176 32145220 40181525 51432352 64290440 80363050 102864704 128580880 160726100 200907625 205729408 257161760 321452200 401815250 411458816 514323520 642904400 803630500 1028647040 1285808800 1607261000 2057294080 2571617600 3214522000 5143235200 6429044000 10286470400 12858088000 25716176000 51432352000