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2133789476 = 2272131749261
BaseRepresentation
bin111111100101111…
…0000101100100100
312111201002201212212
41333023300230210
513332222230401
6551422302552
7103606624400
oct17713605444
95451081785
102133789476
119a5517685
124b6727a58
132800bb930
14163564100
15c74dddbb
hex7f2f0b24

2133789476 has 72 divisors (see below), whose sum is σ = 4953195576. Its totient is φ = 794465280.

The previous prime is 2133789467. The next prime is 2133789503. The reversal of 2133789476 is 6749873312.

It can be written as a sum of positive squares in 4 ways, for example, as 120472576 + 2013316900 = 10976^2 + 44870^2 .

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, 18686 + ... + 67946.

It is an arithmetic number, because the mean of its divisors is an integer number (68794383).

Almost surely, 22133789476 is an apocalyptic number.

2133789476 is a gapful number since it is divisible by the number (26) 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 2133789476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476597788).

2133789476 is an abundant number, since it is smaller than the sum of its proper divisors (2819406100).

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

2133789476 is a wasteful number, since it uses less digits than its factorization.

2133789476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49309 (or 49300 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 50.

The square root of 2133789476 is about 46192.9591604608. The cubic root of 2133789476 is about 1287.4109231237.

The spelling of 2133789476 in words is "two billion, one hundred thirty-three million, seven hundred eighty-nine thousand, four hundred seventy-six".

Divisors: 1 2 4 7 13 14 17 26 28 34 49 52 68 91 98 119 182 196 221 238 364 442 476 637 833 884 1274 1547 1666 2548 3094 3332 6188 10829 21658 43316 49261 98522 197044 344827 640393 689654 837437 1280786 1379308 1674874 2413789 2561572 3349748 4482751 4827578 5862059 8965502 9655156 10886681 11724118 17931004 21773362 23448236 31379257 41034413 43546724 62758514 76206767 82068826 125517028 152413534 164137652 304827068 533447369 1066894738 2133789476