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51256336000 = 275326911909
BaseRepresentation
bin101111101111000111…
…011001111010000000
311220022010211122121211
4233233013121322000
51314433110223000
635314041055504
73463115444632
oct575707317200
9156263748554
1051256336000
111a812957971
129b25787594
134aab12a4cc
1426a3526a52
1514eed0c7ba
hexbef1d9e80

51256336000 has 128 divisors (see below), whose sum is σ = 127920546000. Its totient is φ = 20424601600.

The previous prime is 51256335953. The next prime is 51256336003. The reversal of 51256336000 is 63365215.

It can be written as a sum of positive squares in 8 ways, for example, as 1405950016 + 49850385984 = 37496^2 + 223272^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (51256336003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4298046 + ... + 4309954.

Almost surely, 251256336000 is an apocalyptic number.

51256336000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51256336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63960273000).

51256336000 is an abundant number, since it is smaller than the sum of its proper divisors (76664210000).

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

51256336000 is a wasteful number, since it uses less digits than its factorization.

51256336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12207 (or 12185 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The spelling of 51256336000 in words is "fifty-one billion, two hundred fifty-six million, three hundred thirty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 269 320 400 500 538 640 800 1000 1076 1345 1600 2000 2152 2690 3200 4000 4304 5380 6725 8000 8608 10760 11909 13450 16000 17216 21520 23818 26900 33625 34432 43040 47636 53800 59545 67250 86080 95272 107600 119090 134500 172160 190544 215200 238180 269000 297725 381088 430400 476360 538000 595450 762176 860800 952720 1076000 1190900 1488625 1524352 1905440 2152000 2381800 2977250 3203521 3810880 4304000 4763600 5954500 6407042 7621760 9527200 11909000 12814084 16017605 19054400 23818000 25628168 32035210 38108800 47636000 51256336 64070420 80088025 95272000 102512672 128140840 160176050 190544000 205025344 256281680 320352100 400440125 410050688 512563360 640704200 800880250 1025126720 1281408400 1601760500 2050253440 2562816800 3203521000 5125633600 6407042000 10251267200 12814084000 25628168000 51256336000