Search a number
-
+
20788044101720 = 2357349761279541
BaseRepresentation
bin1001011101000000101111…
…11110111111100001011000
32201121022120112110200110222
410232200113332333201120
510211042403242223340
6112113521242055212
74243613053250420
oct456402776774130
981538515420428
1020788044101720
116695183a52465
1223b8a41aaa508
13b7a3c529a38c
1451c20a7a5480
15260b287198b5
hex12e817fbf858

20788044101720 has 128 divisors (see below), whose sum is σ = 53678773008000. Its totient is φ = 7097542963200.

The previous prime is 20788044101701. The next prime is 20788044101743. The reversal of 20788044101720 is 2710144088702.

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, 74225150 + ... + 74504690.

It is an arithmetic number, because the mean of its divisors is an integer number (419365414125).

Almost surely, 220788044101720 is an apocalyptic number.

20788044101720 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 20788044101720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26839386504000).

20788044101720 is an abundant number, since it is smaller than the sum of its proper divisors (32890728906280).

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

20788044101720 is a wasteful number, since it uses less digits than its factorization.

20788044101720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280669 (or 280665 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 44.

The spelling of 20788044101720 in words is "twenty trillion, seven hundred eighty-eight billion, forty-four million, one hundred one thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 349 698 761 1396 1522 1745 2443 2792 3044 3490 3805 4886 5327 6088 6980 7610 9772 10654 12215 13960 15220 19544 21308 24430 26635 30440 42616 48860 53270 97720 106540 213080 265589 279541 531178 559082 1062356 1118164 1327945 1397705 1859123 1956787 2124712 2236328 2655890 2795410 3718246 3913574 5311780 5590820 7436492 7827148 9295615 9783935 10623560 11181640 14872984 15654296 18591230 19567870 37182460 39135740 74364920 78271480 97559809 195119618 212730701 390239236 425461402 487799045 682918663 780478472 850922804 975598090 1063653505 1365837326 1489114907 1701845608 1951196180 2127307010 2731674652 2978229814 3414593315 3902392360 4254614020 5463349304 5956459628 6829186630 7445574535 8509228040 11912919256 13658373260 14891149070 27316746520 29782298140 59564596280 74243014649 148486029298 296972058596 371215073245 519701102543 593944117192 742430146490 1039402205086 1484860292980 2078804410172 2598505512715 2969720585960 4157608820344 5197011025430 10394022050860 20788044101720