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41134646246661 = 33111717355918423
BaseRepresentation
bin10010101101001011001111…
…11110100011110100000101
312101122102201020000110122000
421112211213332203310011
520342422223414343121
6223252555015055513
711443610611025532
oct1126454776436405
9171572636013560
1041134646246661
111211a118478a70
124744205971599
1319c4c991c7cb6
14a22cdb0c5d89
154b5017172526
hex256967fa3d05

41134646246661 has 128 divisors (see below), whose sum is σ = 70818791546880. Its totient is φ = 23321043532800.

The previous prime is 41134646246641. The next prime is 41134646246737. The reversal of 41134646246661 is 16664264643114.

It is not a de Polignac number, because 41134646246661 - 211 = 41134646244613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41134646246598 and 41134646246607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41134646246641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4883605696 + ... + 4883614118.

It is an arithmetic number, because the mean of its divisors is an integer number (553271808960).

Almost surely, 241134646246661 is an apocalyptic number.

It is an amenable number.

41134646246661 is a deficient number, since it is larger than the sum of its proper divisors (29684145300219).

41134646246661 is a wasteful number, since it uses less digits than its factorization.

41134646246661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14224 (or 14218 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 41134646246661 in words is "forty-one trillion, one hundred thirty-four billion, six hundred forty-six million, two hundred forty-six thousand, six hundred sixty-one".

Divisors: 1 3 9 11 17 27 33 51 99 153 173 187 297 459 519 561 1557 1683 1903 2941 4671 5049 5591 5709 8423 8823 16773 17127 25269 26469 32351 50319 51381 61501 75807 79407 92653 95047 97053 143191 150957 184503 227421 277959 285141 291159 429573 553509 833877 855423 873477 967243 1045517 1288719 1457179 1575101 1660527 2501631 2566269 2901729 3136551 3866157 4371537 4725303 8705187 9409653 10639673 13114611 14175909 16028969 16443131 24772043 26115561 28228959 31919019 39343833 42527727 47092993 48086907 49329393 74316129 95757057 141278979 144260721 147988179 180874441 222948387 272492473 287271171 423836937 432782163 443964537 518022923 542623323 668845161 800580881 817477419 1271510811 1554068769 1627869969 2401742643 2452432257 4662206307 4883609907 7205227929 7357296771 8147087789 8806389691 13986618921 21615683787 24441263367 26419169073 73323790101 79257507219 89617965679 138500492413 219971370303 237772521657 268853897037 415501477239 806561691111 1246504431717 1523505416543 2419685073333 3739513295151 4570516249629 13711548748887 41134646246661