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1011060505854 = 233753145134781
BaseRepresentation
bin11101011011001111110…
…01101111110011111110
310120122201112201100011000
432231213321233303332
5113031122442141404
62052250315311130
7133022010333540
oct16554771576376
93518645640130
101011060505854
1135a87432a723
12143b4a14b4a6
137445b8b9469
1436d15387690
151b4777a8339
hexeb67e6fcfe

1011060505854 has 128 divisors (see below), whose sum is σ = 2618099573760. Its totient is φ = 283220496000.

The previous prime is 1011060505849. The next prime is 1011060505891. The reversal of 1011060505854 is 4585050601101.

1011060505854 is a `hidden beast` number, since 1 + 0 + 1 + 10 + 60 + 5 + 0 + 585 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29051944 + ... + 29086724.

It is an arithmetic number, because the mean of its divisors is an integer number (20453902920).

Almost surely, 21011060505854 is an apocalyptic number.

1011060505854 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011060505854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309049786880).

1011060505854 is an abundant number, since it is smaller than the sum of its proper divisors (1607039067906).

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

1011060505854 is a wasteful number, since it uses less digits than its factorization.

1011060505854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36303 (or 36297 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 1011060505854 in words is "one trillion, eleven billion, sixty million, five hundred five thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 106 126 159 189 318 371 378 477 742 954 1113 1431 1451 2226 2862 2902 3339 4353 6678 8706 10017 10157 13059 20034 20314 26118 30471 34781 39177 60942 69562 76903 78354 91413 104343 153806 182826 208686 230709 243467 274239 313029 461418 486934 538321 548478 626058 692127 730401 939087 1076642 1384254 1460802 1614963 1843393 1878174 2076381 2191203 3229926 3686786 4152762 4382406 4844889 5530179 6573609 9689778 11060358 12903751 13147218 14534667 16590537 25807502 29069334 33181074 38711253 49771611 50467231 77422506 99543222 100934462 116133759 151401693 232267518 302803386 348401277 353270617 454205079 696802554 706541234 908410158 1059811851 1362615237 2119623702 2674763243 2725230474 3179435553 5349526486 6358871106 8024289729 9538306659 16048579458 18723342701 19076613318 24072869187 37446685402 48145738374 56170028103 72218607561 112340056206 144437215122 168510084309 337020168618 505530252927 1011060505854