Search a number
-
+
20068754055100 = 225229173199320071
BaseRepresentation
bin1001001000000100111101…
…11101001101111110111100
32122001112221222100101102221
410210002132331031332330
510112301302014230400
6110403243000055124
74140630301605052
oct444023675157674
978045858311387
1020068754055100
116438124522283
1223015611644a4
13b2762456b48a
144d54935c41d2
1524c07add2c1a
hex12409ef4dfbc

20068754055100 has 144 divisors (see below), whose sum is σ = 45336296416320. Its totient is φ = 7701639321600.

The previous prime is 20068754055019. The next prime is 20068754055101. The reversal of 20068754055100 is 155045786002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20068754055101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 999878065 + ... + 999898135.

It is an arithmetic number, because the mean of its divisors is an integer number (314835391780).

Almost surely, 220068754055100 is an apocalyptic number.

20068754055100 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 20068754055100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22668148208160).

20068754055100 is an abundant number, since it is smaller than the sum of its proper divisors (25267542361220).

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

20068754055100 is a wasteful number, since it uses less digits than its factorization.

20068754055100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22280 (or 22273 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 43.

The spelling of 20068754055100 in words is "twenty trillion, sixty-eight billion, seven hundred fifty-four million, fifty-five thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 173 290 346 580 692 725 865 1450 1730 1993 2900 3460 3986 4325 5017 7972 8650 9965 10034 17300 19930 20068 20071 25085 39860 40142 49825 50170 57797 80284 99650 100340 100355 115594 125425 199300 200710 231188 250850 288985 344789 401420 501700 501775 577970 582059 689578 1003550 1155940 1164118 1379156 1444925 1723945 2007100 2328236 2889850 2910295 3447890 3472283 5779700 5820590 6895780 6944566 8619725 9998881 11641180 13889132 14551475 17239450 17361415 19997762 29102950 34478900 34722830 39995524 40001503 49994405 58205900 69445660 80003006 86807075 99988810 100696207 160006012 173614150 199977620 200007515 201392414 249972025 347228300 400015030 402784828 499944050 503481035 800030060 999888100 1000037575 1006962070 1160043587 2000075150 2013924140 2320087174 2517405175 4000150300 4640174348 5034810350 5800217935 6920260019 10069620700 11600435870 13840520038 23200871740 27681040076 29001089675 34601300095 58002179350 69202600190 116004358700 138405200380 173006500475 200687540551 346013000950 401375081102 692026001900 802750162204 1003437702755 2006875405510 4013750811020 5017188513775 10034377027550 20068754055100