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2550066336 = 253210981233
BaseRepresentation
bin1001011111111110…
…1110110010100000
320120201101210101100
42113333232302200
520210304110321
61101012434400
7120123130506
oct22777566240
96521353340
102550066336
11109949a644
125b2018a00
1331840babc
141a2964676
15edd1a326
hex97feeca0

2550066336 has 72 divisors (see below), whose sum is σ = 7318371060. Its totient is φ = 842213376.

The previous prime is 2550066331. The next prime is 2550066341. The reversal of 2550066336 is 6336600552.

It is an interprime number because it is at equal distance from previous prime (2550066331) and next prime (2550066341).

It can be written as a sum of positive squares in 2 ways, for example, as 2495601936 + 54464400 = 49956^2 + 7380^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2550066336.

It is not an unprimeable number, because it can be changed into a prime (2550066331) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9225 + ... + 72008.

Almost surely, 22550066336 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 2550066336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3659185530).

2550066336 is an abundant number, since it is smaller than the sum of its proper divisors (4768304724).

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

2550066336 is a wasteful number, since it uses less digits than its factorization.

2550066336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81358 (or 81347 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 2550066336 is about 50498.1815118129. The cubic root of 2550066336 is about 1366.2090547495.

Adding to 2550066336 its reverse (6336600552), we get a palindrome (8886666888).

The spelling of 2550066336 in words is "two billion, five hundred fifty million, sixty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 109 144 218 288 327 436 654 872 981 1308 1744 1962 2616 3488 3924 5232 7848 10464 15696 31392 81233 162466 243699 324932 487398 649864 731097 974796 1299728 1462194 1949592 2599456 2924388 3899184 5848776 7798368 8854397 11697552 17708794 23395104 26563191 35417588 53126382 70835176 79689573 106252764 141670352 159379146 212505528 283340704 318758292 425011056 637516584 850022112 1275033168 2550066336