Search a number
-
+
2155124420046 = 23213291546720533
BaseRepresentation
bin11111010111000111011…
…011001110110111001110
321122000202022210212121200
4133113013123032313032
5240302143322420141
64330014523410330
7311462664214323
oct37270733166716
97560668725550
102155124420046
11760a8a607624
122a98169839a6
131282c5686130
1476446a4cb4a
153b0d68ddab6
hex1f5c76cedce

2155124420046 has 96 divisors (see below), whose sum is σ = 5202614158560. Its totient is φ = 640176590592.

The previous prime is 2155124420023. The next prime is 2155124420047. The reversal of 2155124420046 is 6400244215512.

2155124420046 is a `hidden beast` number, since 2 + 1 + 551 + 2 + 44 + 20 + 0 + 46 = 666.

It is a super-2 number, since 2×21551244200462 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2155124420047) 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, 104948796 + ... + 104969328.

It is an arithmetic number, because the mean of its divisors is an integer number (54193897485).

Almost surely, 22155124420046 is an apocalyptic number.

2155124420046 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2155124420046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601307079280).

2155124420046 is an abundant number, since it is smaller than the sum of its proper divisors (3047489738514).

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

2155124420046 is a wasteful number, since it uses less digits than its factorization.

2155124420046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36050 (or 36047 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 2155124420046 its reverse (6400244215512), we get a palindrome (8555368635558).

The spelling of 2155124420046 in words is "two trillion, one hundred fifty-five billion, one hundred twenty-four million, four hundred twenty thousand, forty-six".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 2262 3393 6786 15467 20533 30934 41066 46401 61599 92802 123198 139203 184797 201071 266929 278406 369594 402142 448543 533858 595457 603213 800787 897086 1190914 1206426 1345629 1601574 1786371 1809639 2402361 2691258 3572742 3619278 4036887 4804722 5359113 5831059 7740941 8073774 10718226 11662118 15481882 17493177 23222823 34986354 46445646 52479531 69668469 104959062 139336938 317583911 635167822 952751733 1905503466 2858255199 4128590843 5716510398 8257181686 9209933419 12385772529 18419866838 24771545058 27629800257 37157317587 55259600514 74314635174 82889400771 119729134447 165778801542 239458268894 359187403341 718374806682 1077562210023 2155124420046