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1056055010060 = 22523127173104491
BaseRepresentation
bin11110101111000011100…
…10001010001100001100
310201221212021210222101202
433113201302022030030
5114300300040310220
62125051151525032
7136204012322231
oct17274162121414
93657767728352
101056055010060
11377963581696
12150806829778
137877c624c4b
1439182dc5788
151c70c9ad275
hexf5e1c8a30c

1056055010060 has 96 divisors (see below), whose sum is σ = 2345863790592. Its totient is φ = 398553281280.

The previous prime is 1056055010053. The next prime is 1056055010069. The reversal of 1056055010060 is 600105506501.

It is a super-3 number, since 3×10560550100603 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1056055010069) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 10054415 + ... + 10158905.

It is an arithmetic number, because the mean of its divisors is an integer number (24436081152).

Almost surely, 21056055010060 is an apocalyptic number.

1056055010060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056055010060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172931895296).

1056055010060 is an abundant number, since it is smaller than the sum of its proper divisors (1289808780532).

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

1056055010060 is a wasteful number, since it uses less digits than its factorization.

1056055010060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104823 (or 104821 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 1056055010060 in words is "one trillion, fifty-six billion, fifty-five million, ten thousand, sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 127 173 230 254 346 460 508 635 692 865 1270 1730 2540 2921 3460 3979 5842 7958 11684 14605 15916 19895 21971 29210 39790 43942 58420 79580 87884 104491 109855 208982 219710 417964 439420 505333 522455 1010666 1044910 2021332 2089820 2403293 2526665 4806586 5053330 9613172 10106660 12016465 13270357 18076943 24032930 26540714 36153886 48065860 53081428 66351785 72307772 90384715 132703570 180769430 265407140 305218211 361538860 415769689 610436422 831539378 1220872844 1526091055 1663078756 2078848445 2295771761 3052182110 4157696890 4591543522 6104364220 8315393780 9183087044 11478858805 22957717610 45915435220 52802750503 105605501006 211211002012 264013752515 528027505030 1056055010060