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2133010016 = 25537731627
BaseRepresentation
bin111111100100011…
…0010011001100000
312111122122010122222
41333020302121200
513332022310031
6551353450212
7103600200044
oct17710623140
95448563588
102133010016
119a5034aa5
124b6410968
1327cba7c07
14163400024
15c73d7e7b
hex7f232660

2133010016 has 48 divisors (see below), whose sum is σ = 4286764944. Its totient is φ = 1044386304.

The previous prime is 2133009961. The next prime is 2133010021. The reversal of 2133010016 is 6100103312.

It is a junction number, because it is equal to n+sod(n) for n = 2133009976 and 2133010003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1310195 + ... + 1311821.

It is an arithmetic number, because the mean of its divisors is an integer number (89307603).

Almost surely, 22133010016 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 2133010016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143382472).

2133010016 is an abundant number, since it is smaller than the sum of its proper divisors (2153754928).

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

2133010016 is a wasteful number, since it uses less digits than its factorization.

2133010016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 2133010016 is about 46184.5213897470. The cubic root of 2133010016 is about 1287.2541429691.

Adding to 2133010016 its reverse (6100103312), we get a palindrome (8233113328).

The spelling of 2133010016 in words is "two billion, one hundred thirty-three million, ten thousand, sixteen".

Divisors: 1 2 4 8 16 32 53 106 212 424 773 848 1546 1627 1696 3092 3254 6184 6508 12368 13016 24736 26032 40969 52064 81938 86231 163876 172462 327752 344924 655504 689848 1257671 1311008 1379696 2515342 2759392 5030684 10061368 20122736 40245472 66656563 133313126 266626252 533252504 1066505008 2133010016