Search a number
-
+
20101563660430 = 2572739520910657
BaseRepresentation
bin1001001001000010000101…
…00011111011100010001110
32122011200122112102000202201
410210201002203323202032
510113321000244113210
6110430310355512114
74143201325626100
oct444410243734216
978150575360681
1020101563660430
11645003070438a
122307998bb863a
13b2a752a44825
144d6cc6c33570
1524cd4b4e253a
hex1248428fb88e

20101563660430 has 96 divisors (see below), whose sum is σ = 42159215383200. Its totient is φ = 6880671608832.

The previous prime is 20101563660403. The next prime is 20101563660511. The reversal of 20101563660430 is 3406636510102.

It is a self number, because there is not a number n which added to its sum of digits gives 20101563660430.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1886225662 + ... + 1886236318.

It is an arithmetic number, because the mean of its divisors is an integer number (439158493575).

Almost surely, 220101563660430 is an apocalyptic number.

20101563660430 is an abundant number, since it is smaller than the sum of its proper divisors (22057651722770).

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

20101563660430 is a wasteful number, since it uses less digits than its factorization.

20101563660430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16626 (or 16619 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 20101563660430 in words is "twenty trillion, one hundred one billion, five hundred sixty-three million, six hundred sixty thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 739 1478 3695 5173 5209 7390 10346 10418 10657 21314 25865 26045 36211 36463 51730 52090 53285 72422 72926 74599 106570 149198 181055 182315 255241 362110 364630 372995 510482 522193 745990 1044386 1276205 2552410 2610965 3849451 5221930 7698902 7875523 15751046 19247255 26946157 38494510 39377615 53892314 55128661 55512313 78755230 110257322 111024626 134730785 188623099 269461570 275643305 277561565 377246198 385900627 388586191 551286610 555123130 771801254 777172382 943115495 1886230990 1929503135 1942930955 2720103337 3859006270 3885861910 5440206674 13600516685 27201033370 41023599307 82047198614 205117996535 287165195149 410235993070 574330390298 1435825975745 2010156366043 2871651951490 4020312732086 10050781830215 20101563660430