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56066501000 = 2353349160649
BaseRepresentation
bin110100001101110100…
…101110100110001000
312100201101000100112002
4310031310232212020
51404311011013000
641431231410132
74023244252406
oct641564564610
9170641010462
1056066501000
1121861095044
12aa48683948
1353968507a3
1429dc2d0476
1516d22668d5
hexd0dd2e988

56066501000 has 64 divisors (see below), whose sum is σ = 131572350000. Its totient is φ = 22362201600.

The previous prime is 56066500991. The next prime is 56066501027. The reversal of 56066501000 is 10566065.

It can be written as a sum of positive squares in 8 ways, for example, as 14027559844 + 42038941156 = 118438^2 + 205034^2 .

It is an unprimeable number.

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, 268676 + ... + 429324.

Almost surely, 256066501000 is an apocalyptic number.

56066501000 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 56066501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65786175000).

56066501000 is an abundant number, since it is smaller than the sum of its proper divisors (75505849000).

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

56066501000 is a wasteful number, since it uses less digits than its factorization.

56066501000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161019 (or 161005 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The spelling of 56066501000 in words is "fifty-six billion, sixty-six million, five hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 349 500 698 1000 1396 1745 2792 3490 6980 8725 13960 17450 34900 43625 69800 87250 160649 174500 321298 349000 642596 803245 1285192 1606490 3212980 4016225 6425960 8032450 16064900 20081125 32129800 40162250 56066501 80324500 112133002 160649000 224266004 280332505 448532008 560665010 1121330020 1401662525 2242660040 2803325050 5606650100 7008312625 11213300200 14016625250 28033250500 56066501000