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2575233012 = 2231131162731
BaseRepresentation
bin1001100101111110…
…1110111111110100
320122110202101120110
42121133232333310
520233224424022
61103312103020
7120550055652
oct23137567764
96573671513
102575233012
111101719750
125ba534a70
133206b0b21
141a6035dd2
1510113c00c
hex997eeff4

2575233012 has 48 divisors (see below), whose sum is σ = 6576321024. Its totient is φ = 777852000.

The previous prime is 2575232999. The next prime is 2575233043. The reversal of 2575233012 is 2103325752.

It is a happy number.

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, 9687 + ... + 72417.

It is an arithmetic number, because the mean of its divisors is an integer number (137006688).

Almost surely, 22575233012 is an apocalyptic number.

2575233012 is a gapful number since it is divisible by the number (22) 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 2575233012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288160512).

2575233012 is an abundant number, since it is smaller than the sum of its proper divisors (4001088012).

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

2575233012 is a wasteful number, since it uses less digits than its factorization.

2575233012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63060 (or 63058 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 2575233012 is about 50746.7537089812. The cubic root of 2575233012 is about 1370.6887353382.

Adding to 2575233012 its reverse (2103325752), we get a palindrome (4678558764).

The spelling of 2575233012 in words is "two billion, five hundred seventy-five million, two hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 311 622 933 1244 1866 3421 3732 6842 10263 13684 20526 41052 62731 125462 188193 250924 376386 690041 752772 1380082 2070123 2760164 4140246 8280492 19509341 39018682 58528023 78037364 117056046 214602751 234112092 429205502 643808253 858411004 1287616506 2575233012