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56010606105105 = 32517928612430451
BaseRepresentation
bin11001011110000111111000…
…10001111101001000010001
321100022120011102221210001200
430233003330101331020101
524320134210130330410
6315042530042021413
714540430014351451
oct1457037421751021
9240276142853050
1056010606105105
1116934a67a53263
1263472927a7869
132533a151c58c2
14db8cdbc51d61
15671e6eccc3c0
hex32f0fc47d211

56010606105105 has 48 divisors (see below), whose sum is σ = 97661588880960. Its totient is φ = 29695043664000.

The previous prime is 56010606105101. The next prime is 56010606105127. The reversal of 56010606105105 is 50150160601065.

56010606105105 is a `hidden beast` number, since 5 + 60 + 10 + 60 + 6 + 10 + 510 + 5 = 666.

56010606105105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56010606105105 - 22 = 56010606105101 is a prime.

It is a super-2 number, since 2×560106061051052 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56010606105105.

It is not an unprimeable number, because it can be changed into a prime (56010606105101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21830130 + ... + 24260580.

It is an arithmetic number, because the mean of its divisors is an integer number (2034616435020).

Almost surely, 256010606105105 is an apocalyptic number.

It is an amenable number.

56010606105105 is a deficient number, since it is larger than the sum of its proper divisors (41650982775855).

56010606105105 is a wasteful number, since it uses less digits than its factorization.

56010606105105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433502 (or 2433499 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 56010606105105 in words is "fifty-six trillion, ten billion, six hundred six million, one hundred five thousand, one hundred five".

Divisors: 1 3 5 9 15 45 179 537 895 1611 2685 2861 8055 8583 14305 25749 42915 128745 512119 1536357 2430451 2560595 4609071 7291353 7681785 12152255 21874059 23045355 36456765 109370295 435050729 1305152187 2175253645 3915456561 6525760935 6953520311 19577282805 20860560933 34767601555 62581682799 104302804665 312908413995 1244680135669 3734040407007 6223400678345 11202121221021 18670202035035 56010606105105