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1288366068 = 2231123479029
BaseRepresentation
bin100110011001010…
…1110011111110100
310022210021202222210
41030302232133310
510114310203233
6331502053420
743632634203
oct11462563764
93283252883
101288366068
11601281550
122bb57a270
13176bc37b2
14c317323a
1578193163
hex4ccae7f4

1288366068 has 96 divisors (see below), whose sum is σ = 3495260160. Its totient is φ = 365453440.

The previous prime is 1288366061. The next prime is 1288366069. The reversal of 1288366068 is 8606638821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288366061) 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, 138178 + ... + 147206.

It is an arithmetic number, because the mean of its divisors is an integer number (36408960).

Almost surely, 21288366068 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 1288366068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747630080).

1288366068 is an abundant number, since it is smaller than the sum of its proper divisors (2206894092).

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

1288366068 is a wasteful number, since it uses less digits than its factorization.

1288366068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9117 (or 9115 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 1288366068 is about 35893.8165705460. The cubic root of 1288366068 is about 1088.1274326751.

The spelling of 1288366068 in words is "one billion, two hundred eighty-eight million, three hundred sixty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 47 66 69 92 94 132 138 141 188 253 276 282 506 517 564 759 1012 1034 1081 1518 1551 2068 2162 3036 3102 3243 4324 6204 6486 9029 11891 12972 18058 23782 27087 35673 36116 47564 54174 71346 99319 108348 142692 198638 207667 297957 397276 415334 424363 595914 623001 830668 848726 1191828 1246002 1273089 1697452 2284337 2492004 2546178 4568674 4667993 5092356 6853011 9137348 9335986 9760349 13706022 14003979 18671972 19520698 27412044 28007958 29281047 39041396 56015916 58562094 107363839 117124188 214727678 322091517 429455356 644183034 1288366068