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56106050506100 = 22527286771131959
BaseRepresentation
bin11001100000111001101010…
…01101011100110101110100
321100122200112010102201022022
430300130311031130311310
524323220142412143400
6315154432550452312
714550346143362300
oct1460346515346564
9240580463381268
1056106050506100
1116971495913401
12636188a964098
13253ca15c62b1a
14dbd793c52d00
156746a90e4b85
hex33073535cd74

56106050506100 has 108 divisors (see below), whose sum is σ = 141630407261280. Its totient is φ = 19235992708800.

The previous prime is 56106050506067. The next prime is 56106050506123. The reversal of 56106050506100 is 160505060165.

It is a super-2 number, since 2×561060505061002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 425111921 + ... + 425243879.

Almost surely, 256106050506100 is an apocalyptic number.

56106050506100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56106050506100 is an abundant number, since it is smaller than the sum of its proper divisors (85524356755180).

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

56106050506100 is a wasteful number, since it uses less digits than its factorization.

56106050506100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218758 (or 218744 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

Adding to 56106050506100 its reverse (160505060165), we get a palindrome (56266555566265).

The spelling of 56106050506100 in words is "fifty-six trillion, one hundred six billion, fifty million, five hundred six thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 86771 131959 173542 263918 347084 433855 527836 607397 659795 867710 923713 1214794 1319590 1735420 1847426 2169275 2429588 2639180 3036985 3298975 3694852 4251779 4338550 4618565 6073970 6465991 6597950 8503558 8677100 9237130 12147940 12931982 13195900 15184925 17007116 18474260 21258895 23092825 25863964 30369850 32329955 42517790 46185650 60739700 64659910 85035580 92371300 106294475 129319820 161649775 212588950 323299550 425177900 646599100 11450214389 22900428778 45800857556 57251071945 80151500723 114502143890 160303001446 229004287780 286255359725 320606002892 400757503615 561060505061 572510719450 801515007230 1122121010122 1145021438900 1603030014460 2003787518075 2244242020244 2805302525305 4007575036150 5610605050610 8015150072300 11221210101220 14026512626525 28053025253050 56106050506100