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2545783768 = 231153896133
BaseRepresentation
bin1001011110111101…
…1001001111011000
320120102100012210201
42113233121033120
520203210040033
61100340551544
7120041543053
oct22757311730
96512305721
102545783768
111097035030
125b06b25b4
1331756c738
141a216ba9a
15ed77147d
hex97bd93d8

2545783768 has 64 divisors (see below), whose sum is σ = 5366023200. Its totient is φ = 1122401280.

The previous prime is 2545783733. The next prime is 2545783771. The reversal of 2545783768 is 8673875452.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412030 + ... + 418162.

Almost surely, 22545783768 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 2545783768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683011600).

2545783768 is an abundant number, since it is smaller than the sum of its proper divisors (2820239432).

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

2545783768 is a wasteful number, since it uses less digits than its factorization.

2545783768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6292 (or 6288 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 55.

The square root of 2545783768 is about 50455.7605036333. The cubic root of 2545783768 is about 1365.4438247801.

The spelling of 2545783768 in words is "two billion, five hundred forty-five million, seven hundred eighty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 53 88 89 106 178 212 356 424 583 712 979 1166 1958 2332 3916 4664 4717 6133 7832 9434 12266 18868 24532 37736 49064 51887 67463 103774 134926 207548 269852 325049 415096 539704 545837 650098 1091674 1300196 2183348 2600392 3575539 4366696 6004207 7151078 12008414 14302156 24016828 28604312 28929361 48033656 57858722 115717444 231434888 318222971 636445942 1272891884 2545783768