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2126163622000 = 245311117182531
BaseRepresentation
bin11110111100001001001…
…110100011100001110000
321112020222222221220022211
4132330021032203201300
5234313340341401000
64304425053141504
7306416213411635
oct36741116434160
97466888856284
102126163622000
1174a778a32390
122a4093a8a894
1312565b6a5742
1474c9a63818c
153a48e13b7ba
hex1ef093a3870

2126163622000 has 160 divisors (see below), whose sum is σ = 5613290512128. Its totient is φ = 772480800000.

The previous prime is 2126163621941. The next prime is 2126163622019. The reversal of 2126163622000 is 2263616212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25720735 + ... + 25803265.

Almost surely, 22126163622000 is an apocalyptic number.

2126163622000 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 2126163622000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2806645256064).

2126163622000 is an abundant number, since it is smaller than the sum of its proper divisors (3487126890128).

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

2126163622000 is a wasteful number, since it uses less digits than its factorization.

2126163622000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83736 (or 83720 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 2126163622000 in words is "two trillion, one hundred twenty-six billion, one hundred sixty-three million, six hundred twenty-two 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 1171 1375 2000 2200 2342 2750 4400 4684 5500 5855 9368 11000 11710 12881 18736 22000 23420 25762 29275 46840 51524 58550 64405 82531 93680 103048 117100 128810 146375 165062 206096 234200 257620 292750 322025 330124 412655 468400 515240 585500 644050 660248 825310 907841 1030480 1171000 1288100 1320496 1610125 1650620 1815682 2063275 2342000 2576200 3220250 3301240 3631364 4126550 4539205 5152400 6440500 6602480 7262728 8253100 9078410 10316375 12881000 14525456 16506200 18156820 20632750 22696025 25762000 33012400 36313640 41265500 45392050 72627280 82531000 90784100 96643801 113480125 165062000 181568200 193287602 226960250 363136400 386575204 453920500 483219005 773150408 907841000 966438010 1063081811 1546300816 1815682000 1932876020 2126163622 2416095025 3865752040 4252327244 4832190050 5315409055 7731504080 8504654488 9664380100 10630818110 12080475125 17009308976 19328760200 21261636220 24160950250 26577045275 38657520400 42523272440 48321900500 53154090550 85046544880 96643801000 106308181100 132885226375 193287602000 212616362200 265770452750 425232724400 531540905500 1063081811000 2126163622000