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2553361002 = 2331710127539
BaseRepresentation
bin1001100000110001…
…0011001001101010
320120221121011211000
42120030103021222
520212130023002
61101211215430
7120163132113
oct23014231152
96527534730
102553361002
1110a033aa05
125b3147576
13318cc35ca
141a318120a
15ee26b61c
hex9831326a

2553361002 has 64 divisors (see below), whose sum is σ = 6067612800. Its totient is φ = 793094400.

The previous prime is 2553360989. The next prime is 2553361021. The reversal of 2553361002 is 2001633552.

2553361002 is a `hidden beast` number, since 2 + 553 + 3 + 6 + 100 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 78949 + ... + 106487.

It is an arithmetic number, because the mean of its divisors is an integer number (94806450).

Almost surely, 22553361002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2553361002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3033806400).

2553361002 is an abundant number, since it is smaller than the sum of its proper divisors (3514251798).

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

2553361002 is a wasteful number, since it uses less digits than its factorization.

2553361002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27668 (or 27662 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 2553361002 is about 50530.7926120301. The cubic root of 2553361002 is about 1366.7971787186.

Adding to 2553361002 its reverse (2001633552), we get a palindrome (4554994554).

The spelling of 2553361002 in words is "two billion, five hundred fifty-three million, three hundred sixty-one thousand, two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 101 102 153 202 303 306 459 606 909 918 1717 1818 2727 3434 5151 5454 10302 15453 27539 30906 46359 55078 82617 92718 165234 247851 468163 495702 743553 936326 1404489 1487106 2781439 2808978 4213467 5562878 8344317 8426934 12640401 16688634 25032951 25280802 47284463 50065902 75098853 94568926 141853389 150197706 283706778 425560167 851120334 1276680501 2553361002