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11668902116284 = 2273149923712393
BaseRepresentation
bin1010100111001110000011…
…0000111111101110111100
31112022112110211222220100101
42221303200300333232330
53012140402420210114
640452341501210444
72313023162311000
oct251634060775674
945275424886311
1011668902116284
113799832045266
121385617860a24
136684acc0956a
142c4ac66c4700
1515380556dd74
hexa9ce0c3fbbc

11668902116284 has 96 divisors (see below), whose sum is σ = 23849985600000. Its totient is φ = 4993426488960.

The previous prime is 11668902116281. The next prime is 11668902116317. The reversal of 11668902116284 is 48261120986611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11668902116281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4876263792 + ... + 4876266184.

It is an arithmetic number, because the mean of its divisors is an integer number (248437350000).

Almost surely, 211668902116284 is an apocalyptic number.

11668902116284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11668902116284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11924992800000).

11668902116284 is an abundant number, since it is smaller than the sum of its proper divisors (12181083483716).

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

11668902116284 is a wasteful number, since it uses less digits than its factorization.

11668902116284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288 (or 6272 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 55.

The spelling of 11668902116284 in words is "eleven trillion, six hundred sixty-eight billion, nine hundred two million, one hundred sixteen thousand, two hundred eighty-four".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 1499 2371 2393 2998 4742 4786 5996 9484 9572 10493 16597 16751 20986 33194 33502 41972 66388 67004 73451 116179 117257 146902 232358 234514 293804 464716 469028 514157 813253 820799 1028314 1626506 1641598 2056628 3253012 3283196 3554129 3587107 5673803 7108258 7174214 11347606 14216516 14348428 22695212 24878903 25109749 39716621 49757806 50219498 79433242 99515612 100438996 158866484 174152321 175768243 278016347 348304642 351536486 556032694 696609284 703072972 1112065388 1219066247 1230377701 1946114429 2438132494 2460755402 3892228858 4876264988 4921510804 7784457716 8505030697 17010061394 34020122788 59535214879 119070429758 238140859516 416746504153 833493008306 1666986016612 2917225529071 5834451058142 11668902116284