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2145052544 = 27101277599
BaseRepresentation
bin111111111011010…
…1110011110000000
312112111021221220112
41333312232132000
513343113140134
6552503530452
7104104434335
oct17766563600
95474257815
102145052544
11a0090a7a8
124ba459a28
1328253337b
14164c5698c
15c84b61ce
hex7fdae780

2145052544 has 64 divisors (see below), whose sum is σ = 4338468000. Its totient is φ = 1056307200.

The previous prime is 2145052543. The next prime is 2145052561. The reversal of 2145052544 is 4452505412.

It is a tau number, because it is divible by the number of its divisors (64).

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 2145052544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145052543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3580757 + ... + 3581355.

Almost surely, 22145052544 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 2145052544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169234000).

2145052544 is an abundant number, since it is smaller than the sum of its proper divisors (2193415456).

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

2145052544 is a wasteful number, since it uses less digits than its factorization.

2145052544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 32.

The square root of 2145052544 is about 46314.7119606718. The cubic root of 2145052544 is about 1289.6721206641.

Adding to 2145052544 its reverse (4452505412), we get a palindrome (6597557956).

The spelling of 2145052544 in words is "two billion, one hundred forty-five million, fifty-two thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 101 128 202 277 404 554 599 808 1108 1198 1616 2216 2396 3232 4432 4792 6464 8864 9584 12928 17728 19168 27977 35456 38336 55954 60499 76672 111908 120998 165923 223816 241996 331846 447632 483992 663692 895264 967984 1327384 1790528 1935968 2654768 3581056 3871936 5309536 7743872 10619072 16758223 21238144 33516446 67032892 134065784 268131568 536263136 1072526272 2145052544