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2553361050 = 235289193991
BaseRepresentation
bin1001100000110001…
…0011001010011010
320120221121011212210
42120030103022122
520212130023200
61101211215550
7120163132212
oct23014231232
96527534783
102553361050
1110a033aa49
125b31475b6
13318cc3636
141a3181242
15ee26b650
hex9831329a

2553361050 has 96 divisors (see below), whose sum is σ = 6443159040. Its totient is φ = 669081600.

The previous prime is 2553361033. The next prime is 2553361051. The reversal of 2553361050 is 501633552.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2553360999 and 2553361017.

It is not an unprimeable number, because it can be changed into a prime (2553361051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2576055 + ... + 2577045.

It is an arithmetic number, because the mean of its divisors is an integer number (67116240).

Almost surely, 22553361050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553361050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221579520).

2553361050 is an abundant number, since it is smaller than the sum of its proper divisors (3889797990).

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

2553361050 is a wasteful number, since it uses less digits than its factorization.

2553361050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The square root of 2553361050 is about 50530.7930869881. The cubic root of 2553361050 is about 1366.7971872833.

The spelling of 2553361050 in words is "two billion, five hundred fifty-three million, three hundred sixty-one thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 89 150 178 193 267 386 445 534 579 890 965 991 1158 1335 1930 1982 2225 2670 2895 2973 4450 4825 4955 5790 5946 6675 9650 9910 13350 14475 14865 17177 24775 28950 29730 34354 49550 51531 74325 85885 88199 103062 148650 171770 176398 191263 257655 264597 382526 429425 440995 515310 529194 573789 858850 881990 956315 1147578 1288275 1322985 1912630 2204975 2576550 2645970 2868945 4409950 4781575 5737890 6614925 9563150 13229850 14344725 17022407 28689450 34044814 51067221 85112035 102134442 170224070 255336105 425560175 510672210 851120350 1276680525 2553361050