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2833010068 = 2272612111123
BaseRepresentation
bin1010100011011100…
…0100110110010100
321022102210211012211
42220313010312110
521300222310233
61145041123204
7130130121400
oct25067046624
97272724184
102833010068
111224184439
12670929504
13361c17325
141cc378100
15118aaa5cd
hexa8dc4d94

2833010068 has 72 divisors (see below), whose sum is σ = 5894768544. Its totient is φ = 1187524800.

The previous prime is 2833010057. The next prime is 2833010099. The reversal of 2833010068 is 8600103382.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2522155 + ... + 2523277.

Almost surely, 22833010068 is an apocalyptic number.

2833010068 is a gapful number since it is divisible by the number (28) 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 2833010068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947384272).

2833010068 is an abundant number, since it is smaller than the sum of its proper divisors (3061758476).

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

2833010068 is a wasteful number, since it uses less digits than its factorization.

2833010068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 2833010068 is about 53226.0281065570. The cubic root of 2833010068 is about 1414.9769740746.

The spelling of 2833010068 in words is "two billion, eight hundred thirty-three million, ten thousand, sixty-eight".

Divisors: 1 2 4 7 14 28 49 61 98 122 196 211 244 422 427 844 854 1123 1477 1708 2246 2954 2989 4492 5908 5978 7861 10339 11956 12871 15722 20678 25742 31444 41356 51484 55027 68503 90097 110054 137006 180194 220108 236953 274012 360388 473906 479521 630679 947812 959042 1261358 1658671 1918084 2522716 3317342 3356647 6634684 6713294 11610697 13426588 14454133 23221394 28908266 46442788 57816532 101178931 202357862 404715724 708252517 1416505034 2833010068