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553525242441444 = 22327132273467214691
BaseRepresentation
bin111110111011011011010001…
…1011100110010111011100100
32200120212111101212022210012200
41331312312203130302323210
51040022424144031111234
65241125552543014500
7224406610342055310
oct17566664334627344
92616774355283180
10553525242441444
11150408811a91989
12520b8a9789a430
131a9b228b594cc0
149a98a9c3d6b40
1543ed6dd9e6d99
hex1f76da3732ee4

553525242441444 has 288 divisors, whose sum is σ = 1730171733728256. Its totient is φ = 145298976802560.

The previous prime is 553525242441389. The next prime is 553525242441539. The reversal of 553525242441444 is 444144242525355.

553525242441444 is a `hidden beast` number, since 5 + 5 + 3 + 5 + 252 + 4 + 244 + 144 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2578134139 + ... + 2578348829.

It is an arithmetic number, because the mean of its divisors is an integer number (6007540742112).

Almost surely, 2553525242441444 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 553525242441444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865085866864128).

553525242441444 is an abundant number, since it is smaller than the sum of its proper divisors (1176646491286812).

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

553525242441444 is a wasteful number, since it uses less digits than its factorization.

553525242441444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218415 (or 218410 counting only the distinct ones).

The product of its digits is 61440000, while the sum is 54.

Adding to 553525242441444 its reverse (444144242525355), we get a palindrome (997669484966799).

The spelling of 553525242441444 in words is "five hundred fifty-three trillion, five hundred twenty-five billion, two hundred forty-two million, four hundred forty-one thousand, four hundred forty-four".