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41968533376 = 277114258171
BaseRepresentation
bin100111000101100001…
…001111111110000000
311000022212012101122001
4213011201033332000
51141422421032001
631140255153344
73014006435110
oct470541177600
9130285171561
1041968533376
1116887163330
128173215854
133c5ab60203
142061bd5040
151159731001
hex9c584ff80

41968533376 has 64 divisors (see below), whose sum is σ = 104240050560. Its totient is φ = 16351372800.

The previous prime is 41968533353. The next prime is 41968533433. The reversal of 41968533376 is 67333586914.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×419685333762 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2119230 + ... + 2138941.

It is an arithmetic number, because the mean of its divisors is an integer number (1628750790).

Almost surely, 241968533376 is an apocalyptic number.

It is an amenable number.

41968533376 is an abundant number, since it is smaller than the sum of its proper divisors (62271517184).

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

41968533376 is a wasteful number, since it uses less digits than its factorization.

41968533376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258203 (or 4258191 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 55.

The spelling of 41968533376 in words is "forty-one billion, nine hundred sixty-eight million, five hundred thirty-three thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 448 616 704 896 1232 1408 2464 4928 9856 4258171 8516342 17032684 29807197 34065368 46839881 59614394 68130736 93679762 119228788 136261472 187359524 238457576 272522944 327879167 374719048 476915152 545045888 655758334 749438096 953830304 1311516668 1498876192 1907660608 2623033336 2997752384 3815321216 5246066672 5995504768 10492133344 20984266688 41968533376