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20414011501125 = 3253117920881229
BaseRepresentation
bin1001010010001000000011…
…11001110110101001000101
32200021120010120010212210200
410221010001321312221011
510133430343421014000
6111230022321241113
74204602143512254
oct451040171665105
980246116125720
1020414011501125
116560596333630
122358457193199
13b51057729b38
1450808724c79b
152560368d5500
hex129101e76a45

20414011501125 has 96 divisors (see below), whose sum is σ = 40653249062400. Its totient is φ = 9772414704000.

The previous prime is 20414011501049. The next prime is 20414011501199. The reversal of 20414011501125 is 52110511041402.

20414011501125 is a `hidden beast` number, since 2 + 0 + 4 + 140 + 1 + 1 + 501 + 12 + 5 = 666.

It is not a de Polignac number, because 20414011501125 - 216 = 20414011435589 is a prime.

It is a Curzon number.

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 95 ways as a sum of consecutive naturals, for example, 9462990 + ... + 11418239.

It is an arithmetic number, because the mean of its divisors is an integer number (423471344400).

Almost surely, 220414011501125 is an apocalyptic number.

20414011501125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20414011501125 is a deficient number, since it is larger than the sum of its proper divisors (20239237561275).

20414011501125 is a wasteful number, since it uses less digits than its factorization.

20414011501125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20881340 (or 20881327 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 20414011501125 its reverse (52110511041402), we get a palindrome (72524522542527).

The spelling of 20414011501125 in words is "twenty trillion, four hundred fourteen billion, eleven million, five hundred one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 79 99 125 165 225 237 275 375 395 495 711 825 869 1125 1185 1375 1975 2475 2607 3555 4125 4345 5925 7821 9875 12375 13035 17775 21725 29625 39105 65175 88875 108625 195525 325875 977625 20881229 62643687 104406145 187931061 229693519 313218435 522030725 689080557 939655305 1148467595 1566092175 1649617091 2067241671 2610153625 3445402785 4698276525 4948851273 5742337975 7830460875 8248085455 10336208355 14846553819 17227013925 18145788001 23491382625 24744256365 28711689875 41240427275 51681041775 54437364003 74232769095 86135069625 90728940005 123721281825 163312092009 206202136375 258405208875 272186820015 371163845475 453644700025 618606409125 816560460045 1360934100075 1855819227375 2268223500125 4082802300225 6804670500375 20414011501125