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61284669616608 = 25323135281205171
BaseRepresentation
bin11011110111100111100101…
…11101100111000111100000
322000222202102222220210200220
431323303302331213013200
531013042000410212413
6334201442154443040
715623446146464604
oct1573636275470740
9260882388823626
1061284669616608
1118588756346359
126a59467a33480
132827172851449
14111c29dc59504
1571424cba2223
hex37bcf2f671e0

61284669616608 has 96 divisors (see below), whose sum is σ = 167868762792192. Its totient is φ = 19539799910400.

The previous prime is 61284669616607. The next prime is 61284669616673. The reversal of 61284669616608 is 80661696648216.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61284669616601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298597863 + ... + 298803033.

It is an arithmetic number, because the mean of its divisors is an integer number (1748632945752).

Almost surely, 261284669616608 is an apocalyptic number.

It is an amenable number.

61284669616608 is an abundant number, since it is smaller than the sum of its proper divisors (106584093175584).

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

61284669616608 is a wasteful number, since it uses less digits than its factorization.

61284669616608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340488 (or 340480 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 69.

The spelling of 61284669616608 in words is "sixty-one trillion, two hundred eighty-four billion, six hundred sixty-nine million, six hundred sixteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 135281 205171 270562 405843 410342 541124 615513 811686 820684 1082248 1231026 1623372 1641368 2164496 2462052 3111463 3246744 3282736 4328992 4718933 4924104 6222926 6493488 6565472 9334389 9437866 9848208 12445852 12986976 14156799 18668778 18875732 19696416 24891704 28313598 37337556 37751464 49783408 56627196 74675112 75502928 99566816 113254392 149350224 151005856 226508784 298700448 453017568 27755738051 55511476102 83267214153 111022952204 166534428306 222045904408 333068856612 444091808816 638381975173 666137713224 888183617632 1276763950346 1332275426448 1915145925519 2553527900692 2664550852896 3830291851038 5107055801384 7660583702076 10214111602768 15321167404152 20428223205536 30642334808304 61284669616608