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56165506000 = 245361460373
BaseRepresentation
bin110100010011101110…
…011001101111010000
312100222021022022211221
4310103232121233100
51410011332143000
641445125414424
74025555631622
oct642356315720
9170867268757
1056165506000
1121901a66a5a
12aa7586a414
1353b1206426
142a0b502c12
1516dacc161a
hexd13b99bd0

56165506000 has 80 divisors (see below), whose sum is σ = 138034857168. Its totient is φ = 22097856000.

The previous prime is 56165505961. The next prime is 56165506039. The reversal of 56165506000 is 60556165.

It is an interprime number because it is at equal distance from previous prime (56165505961) and next prime (56165506039).

It can be written as a sum of positive squares in 8 ways, for example, as 39480100416 + 16685405584 = 198696^2 + 129172^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 108187 + ... + 352186.

Almost surely, 256165506000 is an apocalyptic number.

56165506000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56165506000 is an abundant number, since it is smaller than the sum of its proper divisors (81869351168).

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

56165506000 is a wasteful number, since it uses less digits than its factorization.

56165506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460457 (or 460441 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The spelling of 56165506000 in words is "fifty-six billion, one hundred sixty-five million, five hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 61 80 100 122 125 200 244 250 305 400 488 500 610 976 1000 1220 1525 2000 2440 3050 4880 6100 7625 12200 15250 24400 30500 61000 122000 460373 920746 1841492 2301865 3682984 4603730 7365968 9207460 11509325 18414920 23018650 28082753 36829840 46037300 56165506 57546625 92074600 112331012 115093250 140413765 184149200 224662024 230186500 280827530 449324048 460373000 561655060 702068825 920746000 1123310120 1404137650 2246620240 2808275300 3510344125 5616550600 7020688250 11233101200 14041376500 28082753000 56165506000