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2052154214000 = 245311246737811
BaseRepresentation
bin11101110111001101111…
…011000100011001110000
321021011222011012102122122
4131313031323010121300
5232110302434322000
64210425134453412
7301156203003062
oct35671573043160
97234864172578
102052154214000
1172134a610790
1229187a364268
1311b6956c4427
147147933d732
15385aba48085
hex1ddcdec4670

2052154214000 has 160 divisors (see below), whose sum is σ = 5415547168512. Its totient is φ = 745915680000.

The previous prime is 2052154213997. The next prime is 2052154214053. The reversal of 2052154214000 is 4124512502.

It is a super-2 number, since 2×20521542140002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 54255095 + ... + 54292905.

Almost surely, 22052154214000 is an apocalyptic number.

2052154214000 is a gapful number since it is divisible by the number (20) 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 2052154214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707773584256).

2052154214000 is an abundant number, since it is smaller than the sum of its proper divisors (3363392954512).

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

2052154214000 is a wasteful number, since it uses less digits than its factorization.

2052154214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40312 (or 40296 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 2052154214000 its reverse (4124512502), we get a palindrome (2056278726502).

The spelling of 2052154214000 in words is "two trillion, fifty-two billion, one hundred fifty-four million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2467 2750 4400 4934 5500 9868 11000 12335 19736 22000 24670 27137 37811 39472 49340 54274 61675 75622 98680 108548 123350 135685 151244 189055 197360 217096 246700 271370 302488 308375 378110 415921 434192 493400 542740 604976 616750 678425 756220 831842 945275 986800 1085480 1233500 1356850 1512440 1663684 1890550 2079605 2170960 2467000 2713700 3024880 3327368 3392125 3781100 4159210 4726375 4934000 5427400 6654736 6784250 7562200 8318420 9452750 10398025 10854800 13568500 15124400 16636840 18905500 20796050 27137000 33273680 37811000 41592100 51990125 54274000 75622000 83184200 93279737 103980250 166368400 186559474 207960500 373118948 415921000 466398685 746237896 831842000 932797370 1026077107 1492475792 1865594740 2052154214 2331993425 3731189480 4104308428 4663986850 5130385535 7462378960 8208616856 9327973700 10260771070 11659967125 16417233712 18655947400 20521542140 23319934250 25651927675 37311894800 41043084280 46639868500 51303855350 82086168560 93279737000 102607710700 128259638375 186559474000 205215421400 256519276750 410430842800 513038553500 1026077107000 2052154214000