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56106055269 = 3411294350497
BaseRepresentation
bin110100010000001011…
…100111011001100101
312100211010102220210000
4310100023213121211
51404401122232034
641435203251513
74024234413105
oct642013473145
9170733386700
1056106055269
1121881450820
12aa59979b99
1353a1abc494
142a03669205
1516d597b599
hexd102e7665

56106055269 has 80 divisors (see below), whose sum is σ = 96786486720. Its totient is φ = 32066979840.

The previous prime is 56106055241. The next prime is 56106055273. The reversal of 56106055269 is 96255060165.

56106055269 is a `hidden beast` number, since 5 + 6 + 10 + 605 + 5 + 26 + 9 = 666.

It is not a de Polignac number, because 56106055269 - 29 = 56106054757 is a prime.

It is a super-2 number, since 2×561060552692 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56106057269) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1085829 + ... + 1136325.

It is an arithmetic number, because the mean of its divisors is an integer number (1209831084).

Almost surely, 256106055269 is an apocalyptic number.

It is an amenable number.

56106055269 is a deficient number, since it is larger than the sum of its proper divisors (40680431451).

56106055269 is a wasteful number, since it uses less digits than its factorization.

56106055269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50592 (or 50583 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 56106055269 in words is "fifty-six billion, one hundred six million, fifty-five thousand, two hundred sixty-nine".

Divisors: 1 3 9 11 27 29 33 43 81 87 99 129 261 297 319 387 473 783 891 957 1161 1247 1419 2349 2871 3483 3741 4257 8613 11223 12771 13717 25839 33669 38313 41151 50497 101007 123453 151491 370359 454473 555467 1111077 1363419 1464413 1666401 2171371 4090257 4393239 4999203 6514113 13179717 14997609 16108543 19542339 23885081 39539151 44992827 48325629 58627017 62969759 71655243 118617453 144976887 175881051 188909277 214965729 434930661 566727831 644897187 692667349 1304791983 1700183493 1934691561 2078002047 5100550479 6234006141 18702018423 56106055269