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12602368688 = 2471347613019
BaseRepresentation
bin10111011110010100…
…01110001010110000
31012112021120122211212
423233022032022300
5201302201244223
65442304255252
7624204236450
oct135712161260
935467518755
1012602368688
115387788138
122538611528
13125abac5c0
14877a1dd60
154db5aa278
hex2ef28e2b0

12602368688 has 160 divisors (see below), whose sum is σ = 31204669440. Its totient is φ = 4797895680.

The previous prime is 12602368657. The next prime is 12602368699. The reversal of 12602368688 is 88686320621.

12602368688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

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 31 ways as a sum of consecutive naturals, for example, 4172843 + ... + 4175861.

It is an arithmetic number, because the mean of its divisors is an integer number (195029184).

Almost surely, 212602368688 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 12602368688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15602334720).

12602368688 is an abundant number, since it is smaller than the sum of its proper divisors (18602300752).

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

12602368688 is a wasteful number, since it uses less digits than its factorization.

12602368688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 50.

The spelling of 12602368688 in words is "twelve billion, six hundred two million, three hundred sixty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 47 52 56 61 91 94 104 112 122 182 188 208 244 329 364 376 427 488 611 658 728 752 793 854 976 1222 1316 1456 1586 1708 2444 2632 2867 3019 3172 3416 4277 4888 5264 5551 5734 6038 6344 6832 8554 9776 11102 11468 12076 12688 17108 20069 21133 22204 22936 24152 34216 37271 39247 40138 42266 44408 45872 48304 68432 74542 78494 80276 84532 88816 141893 149084 156988 160552 169064 184159 260897 274729 283786 298168 313976 321104 338128 368318 521794 549458 567572 596336 627952 736636 993251 1043588 1098916 1135144 1289113 1473272 1844609 1986502 2087176 2197832 2270288 2394067 2578226 2946544 3689218 3973004 4174352 4395664 4788134 5156452 7378436 7946008 8655473 9576268 10312904 12912263 14756872 15892016 16758469 17310946 19152536 20625808 25824526 29513744 33516938 34621892 38305072 51649052 60588311 67033876 69243784 103298104 112521149 121176622 134067752 138487568 206596208 225042298 242353244 268135504 450084596 484706488 787648043 900169192 969412976 1575296086 1800338384 3150592172 6301184344 12602368688