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16271168208 = 2432325910861
BaseRepresentation
bin11110010011101011…
…00101001011010000
31112222222001222122120
433021311211023100
5231310404340313
611250323334240
71114133435121
oct171165451320
945888058576
1016271168208
11699a717559
1231a1221380
1316c3cca9a9
14b04d9c048
1565370bd23
hex3c9d652d0

16271168208 has 120 divisors (see below), whose sum is σ = 44689743840. Its totient is φ = 5099508480.

The previous prime is 16271168191. The next prime is 16271168213. The reversal of 16271168208 is 80286117261.

16271168208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 16271168208.

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 23 ways as a sum of consecutive naturals, for example, 1492698 + ... + 1503558.

It is an arithmetic number, because the mean of its divisors is an integer number (372414532).

Almost surely, 216271168208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16271168208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22344871920).

16271168208 is an abundant number, since it is smaller than the sum of its proper divisors (28418575632).

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

16271168208 is a wasteful number, since it uses less digits than its factorization.

16271168208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10977 (or 10948 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The spelling of 16271168208 in words is "sixteen billion, two hundred seventy-one million, one hundred sixty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 59 69 92 118 138 177 184 236 276 354 368 472 529 552 708 944 1058 1104 1357 1416 1587 2116 2714 2832 3174 4071 4232 5428 6348 8142 8464 10856 10861 12696 16284 21712 21722 25392 31211 32568 32583 43444 62422 65136 65166 86888 93633 124844 130332 173776 187266 249688 249803 260664 374532 499376 499606 521328 640799 749064 749409 999212 1281598 1498128 1498818 1922397 1998424 2563196 2997636 3844794 3996848 5126392 5745469 5995272 7689588 10252784 11490938 11990544 14738377 15379176 17236407 22981876 29476754 30758352 34472814 44215131 45963752 58953508 68945628 88430262 91927504 117907016 137891256 176860524 235814032 275782512 338982671 353721048 677965342 707442096 1016948013 1355930684 2033896026 2711861368 4067792052 5423722736 8135584104 16271168208