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2121605161720 = 2351129241689917
BaseRepresentation
bin11110110111111001100…
…001011010001011111000
321111211020022102010101121
4132313321201122023320
5234230021410133340
64302352453355024
7306165232216162
oct36677141321370
97454208363347
102121605161720
11748849892740
122a3221338a74
131250b3170a75
1474987071932
153a2c3d5194a
hex1edf985a2f8

2121605161720 has 128 divisors (see below), whose sum is σ = 5409509054400. Its totient is φ = 741797683200.

The previous prime is 2121605161703. The next prime is 2121605161721. The reversal of 2121605161720 is 271615061212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121605161721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2730202 + ... + 3420118.

Almost surely, 22121605161720 is an apocalyptic number.

2121605161720 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 2121605161720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704754527200).

2121605161720 is an abundant number, since it is smaller than the sum of its proper divisors (3287903892680).

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

2121605161720 is a wasteful number, since it uses less digits than its factorization.

2121605161720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690209 (or 690205 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The spelling of 2121605161720 in words is "two trillion, one hundred twenty-one billion, six hundred five million, one hundred sixty-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 241 290 319 440 482 580 638 964 1160 1205 1276 1595 1928 2410 2552 2651 3190 4820 5302 6380 6989 9640 10604 12760 13255 13978 21208 26510 27956 34945 53020 55912 69890 76879 106040 139780 153758 279560 307516 384395 615032 689917 768790 1379834 1537580 2759668 3075160 3449585 5519336 6899170 7589087 13798340 15178174 20007593 27596680 30356348 37945435 40015186 60712696 75890870 80030372 100037965 151781740 160060744 166269997 200075930 220083523 303563480 332539994 400151860 440167046 665079988 800303720 831349985 880334092 1100417615 1330159976 1662699970 1760668184 1828969967 2200835230 3325399940 3657939934 4401670460 4821829913 6650799880 7315879868 8803340920 9144849835 9643659826 14631759736 18289699670 19287319652 24109149565 36579399340 38574639304 48218299130 53040129043 73158798680 96436598260 106080258086 192873196520 212160516172 265200645215 424321032344 530401290430 1060802580860 2121605161720