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45042213344 = 253181155987
BaseRepresentation
bin101001111100101110…
…011010000111100000
311022021001212111212212
4221330232122013200
51214221301311334
632405254541252
73153121332152
oct517456320740
9138231774785
1045042213344
1118114178607
128890667828
13432a8a125b
1422740daad2
1512894caece
hexa7cb9a1e0

45042213344 has 48 divisors (see below), whose sum is σ = 91651908096. Its totient is φ = 21767356800.

The previous prime is 45042213331. The next prime is 45042213353. The reversal of 45042213344 is 44331224054.

45042213344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 45042213344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 776519 + ... + 832505.

It is an arithmetic number, because the mean of its divisors is an integer number (1909414752).

Almost surely, 245042213344 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 45042213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45825954048).

45042213344 is an abundant number, since it is smaller than the sum of its proper divisors (46609694752).

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

45042213344 is a wasteful number, since it uses less digits than its factorization.

45042213344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56839 (or 56831 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 45042213344 its reverse (44331224054), we get a palindrome (89373437398).

The spelling of 45042213344 in words is "forty-five billion, forty-two million, two hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 811 992 1622 3244 6488 12976 25141 25952 50282 55987 100564 111974 201128 223948 402256 447896 804512 895792 1735597 1791584 3471194 6942388 13884776 27769552 45405457 55539104 90810914 181621828 363243656 726487312 1407569167 1452974624 2815138334 5630276668 11260553336 22521106672 45042213344