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2534419424196 = 2232112241212
BaseRepresentation
bin100100111000010111001…
…010110110001111000100
322222021210001021110212100
4210320113022312033010
5313010442333033241
65220143551552100
7351051163442052
oct44702712661704
98867701243770
102534419424196
11897928769100
1234b22bb2b630
13154cc154b52a
148a9490511d2
1545dd570d9b6
hex24e172b63c4

2534419424196 has 81 divisors (see below), whose sum is σ = 7042091372589. Its totient is φ = 767974046400.

The previous prime is 2534419424191. The next prime is 2534419424203. The reversal of 2534419424196 is 6914249144352.

The square root of 2534419424196 is 1591986.

It is a perfect power (a square), and thus also a powerful number.

2534419424196 is a `hidden beast` number, since 2 + 5 + 3 + 441 + 9 + 4 + 2 + 4 + 196 = 666.

It can be written as a sum of positive squares in only one way, i.e., 721626464196 + 1812792960000 = 849486^2 + 1346400^2 .

It is not an unprimeable number, because it can be changed into a prime (2534419424191) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 105059016 + ... + 105083136.

Almost surely, 22534419424196 is an apocalyptic number.

2534419424196 is the 1591986-th square number.

It is an amenable number.

2534419424196 is an abundant number, since it is smaller than the sum of its proper divisors (4507671948393).

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

2534419424196 is an equidigital number, since it uses as much as digits as its factorization.

2534419424196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48274 (or 24137 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 2534419424196 in words is "two trillion, five hundred thirty-four billion, four hundred nineteen million, four hundred twenty-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 24121 48242 72363 96484 144726 217089 265331 289452 434178 530662 795993 868356 1061324 1591986 2387979 2918641 3183972 4775958 5837282 8755923 9551916 11674564 17511846 26267769 35023692 52535538 105071076 581822641 1163645282 1745467923 2327290564 3490935846 5236403769 6400049051 6981871692 10472807538 12800098102 19200147153 20945615076 25600196204 38400294306 57600441459 70400539561 76800588612 115200882918 140801079122 211201618683 230401765836 281602158244 422403237366 633604856049 844806474732 1267209712098 2534419424196