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2068868142 = 2341117312203
BaseRepresentation
bin111101101010000…
…0110110000101110
312100011221101120000
41323110012300232
513214112240032
6541143005130
7102161042355
oct17324066056
95304841500
102068868142
11971905290
12498a397a6
1326c80a943
14158aa499c
15c1967e7c
hex7b506c2e

2068868142 has 160 divisors (see below), whose sum is σ = 5529959424. Its totient is φ = 570758400.

The previous prime is 2068868141. The next prime is 2068868171. The reversal of 2068868142 is 2418688602.

2068868142 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2068868141) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 938013 + ... + 940215.

Almost surely, 22068868142 is an apocalyptic number.

2068868142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2068868142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764979712).

2068868142 is an abundant number, since it is smaller than the sum of its proper divisors (3461091282).

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

2068868142 is a wasteful number, since it uses less digits than its factorization.

2068868142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 2068868142 is about 45484.8122124298. The cubic root of 2068868142 is about 1274.2195694529.

The spelling of 2068868142 in words is "two billion, sixty-eight million, eight hundred sixty-eight thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 31 33 34 51 54 62 66 81 93 99 102 153 162 186 187 198 279 297 306 341 374 459 527 558 561 594 682 837 891 918 1023 1054 1122 1377 1581 1674 1683 1782 2046 2203 2511 2754 3069 3162 3366 4406 4743 5022 5049 5797 6138 6609 9207 9486 10098 11594 13218 14229 15147 17391 18414 19827 24233 27621 28458 30294 34782 37451 39654 42687 48466 52173 55242 59481 68293 72699 74902 85374 104346 112353 118962 136586 145398 156519 178443 204879 218097 224706 313038 337059 356886 409758 411961 436194 469557 614637 654291 674118 751223 823922 939114 1011177 1160981 1229274 1235883 1308582 1502446 1843911 1962873 2022354 2253669 2321962 2471766 3033531 3482943 3687822 3707649 3925746 4507338 5531733 6067062 6761007 6965886 7415298 10448829 11063466 11122947 12770791 13522014 20283021 20897658 22245894 25541582 31346487 33368841 38312373 40566042 60849063 62692974 66737682 76624746 94039461 114937119 121698126 188078922 229874238 344811357 689622714 1034434071 2068868142