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3002125776 = 2431319125189
BaseRepresentation
bin1011001011110000…
…1100110111010000
321202020000210100120
42302330030313100
522122021011101
61213521550240
7134252435166
oct26274146720
97666023316
103002125776
111300692591
126b94a5380
1338ac79cb0
142069db236
15128863b36
hexb2f0cdd0

3002125776 has 80 divisors (see below), whose sum is σ = 8396129280. Its totient is φ = 918858240.

The previous prime is 3002125769. The next prime is 3002125781. The reversal of 3002125776 is 6775212003.

3002125776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106590 + ... + 131778.

It is an arithmetic number, because the mean of its divisors is an integer number (104951616).

Almost surely, 23002125776 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 3002125776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198064640).

3002125776 is an abundant number, since it is smaller than the sum of its proper divisors (5394003504).

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

3002125776 is a wasteful number, since it uses less digits than its factorization.

3002125776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25404 (or 25398 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 3002125776 is about 54791.6579051958. The cubic root of 3002125776 is about 1442.5901453797.

Adding to 3002125776 its reverse (6775212003), we get a palindrome (9777337779).

It can be divided in two parts, 3002 and 125776, that added together give a triangular number (128778 = T507).

The spelling of 3002125776 in words is "three billion, two million, one hundred twenty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 191 208 312 382 573 624 764 1146 1528 2292 2483 3056 4584 4966 7449 9168 9932 14898 19864 25189 29796 39728 50378 59592 75567 100756 119184 151134 201512 302268 327457 403024 604536 654914 982371 1209072 1309828 1964742 2619656 3929484 4811099 5239312 7858968 9622198 14433297 15717936 19244396 28866594 38488792 57733188 62544287 76977584 115466376 125088574 187632861 230932752 250177148 375265722 500354296 750531444 1000708592 1501062888 3002125776