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1054135005120 = 26325366019099
BaseRepresentation
bin11110101011011110101…
…01111010111111000000
310201202220110222121202200
433111233111322333000
5114232332030130440
62124132443313200
7136105306463211
oct17255725727700
93652813877680
101054135005120
1137706880254a
1215036b81b800
1378534908952
143903ddd1408
151c64914cc30
hexf56f57afc0

1054135005120 has 84 divisors (see below), whose sum is σ = 3625785204600. Its totient is φ = 281102667264.

The previous prime is 1054135005097. The next prime is 1054135005151. The reversal of 1054135005120 is 215005314501.

1054135005120 is a `hidden beast` number, since 1 + 0 + 541 + 3 + 50 + 0 + 51 + 20 = 666.

It is a super-2 number, since 2×10541350051202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183006670 + ... + 183012429.

Almost surely, 21054135005120 is an apocalyptic number.

1054135005120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054135005120 is an abundant number, since it is smaller than the sum of its proper divisors (2571650199480).

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

1054135005120 is a wasteful number, since it uses less digits than its factorization.

1054135005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366019122 (or 366019109 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 1054135005120 in words is "one trillion, fifty-four billion, one hundred thirty-five million, five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 366019099 732038198 1098057297 1464076396 1830095495 2196114594 2928152792 3294171891 3660190990 4392229188 5490286485 5856305584 6588343782 7320381980 8784458376 10980572970 11712611168 13176687564 14640763960 16470859455 17568916752 21961145940 23425222336 26353375128 29281527920 32941718910 35137833504 43922291880 52706750256 58563055840 65883437820 70275667008 87844583760 105413500512 117126111680 131766875640 175689167520 210827001024 263533751280 351378335040 527067502560 1054135005120