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41273377918096 = 24172944772
BaseRepresentation
bin10010110001001101101010…
…00001111000110010010000
312102010200210200010120200011
421120212311001320302100
520402210334221334341
6223440421132204304
711456621531544112
oct1130466501706220
9172120720116604
1041273377918096
1112172a39927085
124767082909694
131a050a80909cc
14a298dc0b93b2
154b893685cb81
hex2589b5078c90

41273377918096 has 45 divisors (see below), whose sum is σ = 84948723032619. Its totient is φ = 19422560497152.

The previous prime is 41273377918051. The next prime is 41273377918133. The reversal of 41273377918096 is 69081977337214.

The square root of 41273377918096 is 6424436.

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

It can be written as a sum of positive squares in 4 ways, for example, as 24997640055696 + 16275737862400 = 4999764^2 + 4034320^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 436814410 + ... + 436908886.

Almost surely, 241273377918096 is an apocalyptic number.

41273377918096 is the 6424436-th square number.

It is an amenable number.

41273377918096 is an abundant number, since it is smaller than the sum of its proper divisors (43675345114523).

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

41273377918096 is an frugal number, since it uses more digits than its factorization.

41273377918096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188996 (or 94496 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 67.

The spelling of 41273377918096 in words is "forty-one trillion, two hundred seventy-three billion, three hundred seventy-seven million, nine hundred eighteen thousand, ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 4624 94477 188954 377908 755816 1511632 1606109 3212218 6424436 12848872 25697744 27303853 54607706 109215412 218430824 436861648 8925903529 17851807058 35703614116 71407228232 142814456464 151740359993 303480719986 606961439972 1213922879944 2427845759888 2579586119881 5159172239762 10318344479524 20636688959048 41273377918096