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2553423012 = 2232739725523
BaseRepresentation
bin1001100000110010…
…0010010010100100
320120221201022212200
42120030202102210
520212134014022
61101212414500
7120163510650
oct23014422244
96527638780
102553423012
1110a0382558
125b3177430
133190158ba
141a3199a60
15ee27ebac
hex983224a4

2553423012 has 72 divisors (see below), whose sum is σ = 7395425856. Its totient is φ = 727683264.

The previous prime is 2553422959. The next prime is 2553423017. The reversal of 2553423012 is 2103243552.

It is a happy number.

It is a super-2 number, since 2×25534230122 = 13039938156422304288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2553423017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87283 + ... + 112805.

It is an arithmetic number, because the mean of its divisors is an integer number (102714248).

Almost surely, 22553423012 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 2553423012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3697712928).

2553423012 is an abundant number, since it is smaller than the sum of its proper divisors (4842002844).

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

2553423012 is a wasteful number, since it uses less digits than its factorization.

2553423012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25937 (or 25932 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2553423012 is about 50531.4061945638. The cubic root of 2553423012 is about 1366.8082431427.

Adding to 2553423012 its reverse (2103243552), we get a palindrome (4656666564).

The spelling of 2553423012 in words is "two billion, five hundred fifty-three million, four hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 397 794 1191 1588 2382 2779 3573 4764 5558 7146 8337 11116 14292 16674 25011 25523 33348 50022 51046 76569 100044 102092 153138 178661 229707 306276 357322 459414 535983 714644 918828 1071966 1607949 2143932 3215898 6431796 10132631 20265262 30397893 40530524 60795786 70928417 91193679 121591572 141856834 182387358 212785251 283713668 364774716 425570502 638355753 851141004 1276711506 2553423012