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6805242646596 = 2238161032
BaseRepresentation
bin110001100000111100000…
…0100100001000001000100
3220002120112001122100000000
41203001320010201001010
51342444114104142341
622250141343321300
71301443154035152
oct143017004410104
926076461570000
106805242646596
1121940a6075129
1291aa99bb0230
133a4968504704
1419753853a3d2
15bc0476618b6
hex63078121044

6805242646596 has 81 divisors (see below), whose sum is σ = 17863963730431. Its totient is φ = 2268273346488.

The previous prime is 6805242646577. The next prime is 6805242646603. The reversal of 6805242646596 is 6956462425086.

It is a happy number.

The square root of 6805242646596 is 2608686.

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

6805242646596 is a `hidden beast` number, since 6 + 80 + 5 + 2 + 4 + 2 + 6 + 465 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is a super-3 number, since 3×68052426465963 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 422599081 + ... + 422615183.

Almost surely, 26805242646596 is an apocalyptic number.

6805242646596 is the 2608686-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6805242646596

6805242646596 is an abundant number, since it is smaller than the sum of its proper divisors (11058721083835).

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

6805242646596 is an frugal number, since it uses more digits than its factorization.

6805242646596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32234 (or 16108 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 6805242646596 in words is "six trillion, eight hundred five billion, two hundred forty-two million, six hundred forty-six thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 4374 6561 8748 13122 16103 26244 32206 48309 64412 96618 144927 193236 289854 434781 579708 869562 1304343 1739124 2608686 3913029 5217372 7826058 11739087 15652116 23478174 35217261 46956348 70434522 105651783 140869044 211303566 259306609 422607132 518613218 777919827 1037226436 1555839654 2333759481 3111679308 4667518962 7001278443 9335037924 14002556886 21003835329 28005113772 42007670658 63011505987 84015341316 126023011974 189034517961 252046023948 378069035922 567103553883 756138071844 1134207107766 1701310661649 2268414215532 3402621323298 6805242646596