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2648106245841 = 3721923389105971
BaseRepresentation
bin100110100010001111011…
…011101001111011010001
3100101011020002002101202020
4212202033123221323101
5321341310144331331
65344305003042053
7362214353461500
oct46421733517321
910334202071666
102648106245841
11931067a37951
12369279510329
1316293b8068b4
1492251b44837
1548d3b317c96
hex2688f6e9ed1

2648106245841 has 96 divisors (see below), whose sum is σ = 4523054515200. Its totient is φ = 1367694599040.

The previous prime is 2648106245839. The next prime is 2648106245843. The reversal of 2648106245841 is 1485426018462.

It is an interprime number because it is at equal distance from previous prime (2648106245839) and next prime (2648106245843).

It is not a de Polignac number, because 2648106245841 - 21 = 2648106245839 is a prime.

It is a super-2 number, since 2×26481062458412 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2648106245843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24935986 + ... + 25041956.

It is an arithmetic number, because the mean of its divisors is an integer number (47115151200).

Almost surely, 22648106245841 is an apocalyptic number.

2648106245841 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2648106245841 is a deficient number, since it is larger than the sum of its proper divisors (1874948269359).

2648106245841 is a wasteful number, since it uses less digits than its factorization.

2648106245841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106419 (or 106412 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 51.

The spelling of 2648106245841 in words is "two trillion, six hundred forty-eight billion, one hundred six million, two hundred forty-five thousand, eight hundred forty-one".

Divisors: 1 3 7 19 21 23 49 57 69 133 147 161 389 399 437 483 931 1127 1167 1311 2723 2793 3059 3381 7391 8169 8947 9177 19061 21413 22173 26841 51737 57183 62629 64239 105971 155211 169993 187887 317913 362159 438403 509979 741797 1086477 1189951 1315209 2013449 2225391 2437333 3569853 5192579 6040347 7311999 8329657 14094143 15577737 17061331 24988971 41222719 42282429 46309327 51183993 98659001 119429317 123668157 138927981 288559033 295977003 324165289 358287951 783231661 865677099 948122537 972495867 2019913231 2269157023 2349694983 2844367611 5482621627 6059739693 6636857759 6807471069 16447864881 18014328203 19910573277 38378351389 46458004313 54042984609 115135054167 126100297421 139374012939 378300892263 882702081947 2648106245841