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56541105140 = 22513427350893
BaseRepresentation
bin110100101010000111…
…001100101111110100
312101221110001202000012
4310222013030233310
51411244010331030
641550304035352
74041066315062
oct645207145764
9171843052005
1056541105140
1121a84a86173
12ab5b602b58
135440c83440
142a45355032
15170dc65095
hexd2a1ccbf4

56541105140 has 48 divisors (see below), whose sum is σ = 127902322128. Its totient is φ = 20871419904.

The previous prime is 56541105133. The next prime is 56541105169. The reversal of 56541105140 is 4150114565.

It can be written as a sum of positive squares in 8 ways, for example, as 26955729124 + 29585376016 = 164182^2 + 172004^2 .

It is a junction number, because it is equal to n+sod(n) for n = 56541105097 and 56541105106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1085534 + ... + 1136426.

It is an arithmetic number, because the mean of its divisors is an integer number (2664631711).

Almost surely, 256541105140 is an apocalyptic number.

It is an amenable number.

56541105140 is an abundant number, since it is smaller than the sum of its proper divisors (71361216988).

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

56541105140 is a wasteful number, since it uses less digits than its factorization.

56541105140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55188 (or 55186 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The spelling of 56541105140 in words is "fifty-six billion, five hundred forty-one million, one hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 4273 8546 17092 21365 42730 50893 55549 85460 101786 111098 203572 222196 254465 277745 508930 555490 661609 1017860 1110980 1323218 2646436 3308045 6616090 13232180 217465789 434931578 869863156 1087328945 2174657890 2827055257 4349315780 5654110514 11308221028 14135276285 28270552570 56541105140