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11877121368 = 23347353437
BaseRepresentation
bin10110000111110111…
…00111110101011000
31010122201220021120000
423003323213311120
5143311020340433
65242315533000
7600216603000
oct130373476530
933581807500
1011877121368
115045364092
12237575a160
131173870588
14809593000
15497a9c113
hex2c3ee7d58

11877121368 has 160 divisors (see below), whose sum is σ = 38795988000. Its totient is φ = 3393399744.

The previous prime is 11877121351. The next prime is 11877121379. The reversal of 11877121368 is 86312177811.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 195546 + ... + 248982.

It is an arithmetic number, because the mean of its divisors is an integer number (242474925).

Almost surely, 211877121368 is an apocalyptic number.

11877121368 is a gapful number since it is divisible by the number (18) 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 11877121368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19397994000).

11877121368 is an abundant number, since it is smaller than the sum of its proper divisors (26918866632).

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

11877121368 is an equidigital number, since it uses as much as digits as its factorization.

11877121368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53476 (or 53449 counting only the distinct ones).

The product of its digits is 112896, while the sum is 45.

The spelling of 11877121368 in words is "eleven billion, eight hundred seventy-seven million, one hundred twenty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 343 378 392 441 504 567 588 648 686 756 882 1029 1134 1176 1323 1372 1512 1764 2058 2268 2646 2744 3087 3528 3969 4116 4536 5292 6174 7938 8232 9261 10584 12348 15876 18522 24696 27783 31752 37044 53437 55566 74088 106874 111132 160311 213748 222264 320622 374059 427496 480933 641244 748118 961866 1122177 1282488 1442799 1496236 1923732 2244354 2618413 2885598 2992472 3366531 3847464 4328397 4488708 5236826 5771196 6733062 7855239 8656794 8977416 10099593 10473652 11542392 13466124 15710478 17313588 18328891 20199186 20947304 23565717 26932248 30298779 31420956 34627176 36657782 40398372 47131434 54986673 60597558 62841912 70697151 73315564 80796744 94262868 109973346 121195116 141394302 146631128 164960019 188525736 212091453 219946692 242390232 282788604 329920038 424182906 439893384 494880057 565577208 659840076 848365812 989760114 1319680152 1484640171 1696731624 1979520228 2969280342 3959040456 5938560684 11877121368