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2064164142150 = 23252112318130559
BaseRepresentation
bin11110000010011001110…
…001010011110001000110
321022022222010222222212100
4132002121301103301012
5232304402010022100
64220133001132530
7302062624466625
oct36023161236106
97268863888770
102064164142150
11726452933540
1229407048a146
1311c85a923ba6
1471c983c36bc
1538a610ca400
hex1e099c53c46

2064164142150 has 144 divisors (see below), whose sum is σ = 6312915947520. Its totient is φ = 478646731200.

The previous prime is 2064164142149. The next prime is 2064164142151. The reversal of 2064164142150 is 512414614602.

2064164142150 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 1 + 641 + 4 + 2 + 1 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2064164142149) and next prime (2064164142151).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2064164142151) 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 71 ways as a sum of consecutive naturals, for example, 8951430 + ... + 9179129.

It is an arithmetic number, because the mean of its divisors is an integer number (43839694080).

Almost surely, 22064164142150 is an apocalyptic number.

2064164142150 is an abundant number, since it is smaller than the sum of its proper divisors (4248751805370).

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

2064164142150 is a wasteful number, since it uses less digits than its factorization.

2064164142150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18130611 (or 18130603 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 2064164142150 its reverse (512414614602), we get a palindrome (2576578756752).

The spelling of 2064164142150 in words is "two trillion, sixty-four billion, one hundred sixty-four million, one hundred forty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 23 25 30 33 45 46 50 55 66 69 75 90 99 110 115 138 150 165 198 207 225 230 253 275 330 345 414 450 495 506 550 575 690 759 825 990 1035 1150 1265 1518 1650 1725 2070 2277 2475 2530 3450 3795 4554 4950 5175 6325 7590 10350 11385 12650 18975 22770 37950 56925 113850 18130559 36261118 54391677 90652795 108783354 163175031 181305590 199436149 271958385 326350062 398872298 417002857 453263975 543916770 598308447 815875155 834005714 906527950 997180745 1196616894 1251008571 1359791925 1631750310 1794925341 1994361490 2085014285 2502017142 2719583850 2991542235 3589850682 3753025713 4079375775 4170028570 4587031427 4985903725 5983084470 6255042855 7506051426 8158751550 8974626705 9174062854 9971807450 10425071425 12510085710 13761094281 14957711175 17949253410 18765128565 20850142850 22935157135 27522188562 29915422350 31275214275 37530257130 41283282843 44873133525 45870314270 62550428550 68805471405 82566565686 89746267050 93825642825 114675785675 137610942810 187651285650 206416414215 229351571350 344027357025 412832828430 688054714050 1032082071075 2064164142150