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2561143242 = 237237336319
BaseRepresentation
bin1001100010100111…
…1111000111001010
320121111020120001010
42120221333013022
520221123040432
61102050104350
7120316233630
oct23051770712
96544216033
102561143242
1110a4775909
125b587b0b6
1331a7b9898
141a4209350
15eeca73cc
hex98a7f1ca

2561143242 has 64 divisors (see below), whose sum is σ = 6192414720. Its totient is φ = 690332544.

The previous prime is 2561143241. The next prime is 2561143261. The reversal of 2561143242 is 2423411652.

It is not an unprimeable number, because it can be changed into a prime (2561143241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52359 + ... + 88677.

It is an arithmetic number, because the mean of its divisors is an integer number (96756480).

Almost surely, 22561143242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561143242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096207360).

2561143242 is an abundant number, since it is smaller than the sum of its proper divisors (3631271478).

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

2561143242 is a wasteful number, since it uses less digits than its factorization.

2561143242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36427.

The product of its digits is 11520, while the sum is 30.

The square root of 2561143242 is about 50607.7389536423. The cubic root of 2561143242 is about 1368.1843641523.

Adding to 2561143242 its reverse (2423411652), we get a palindrome (4984554894).

The spelling of 2561143242 in words is "two billion, five hundred sixty-one million, one hundred forty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 42 46 69 73 138 146 161 219 322 438 483 511 966 1022 1533 1679 3066 3358 5037 10074 11753 23506 35259 36319 70518 72638 108957 217914 254233 508466 762699 835337 1525398 1670674 2506011 2651287 5012022 5302574 5847359 7953861 11694718 15907722 17542077 18559009 35084154 37118018 55677027 60979601 111354054 121959202 182938803 365877606 426857207 853714414 1280571621 2561143242