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4535523232240 = 24571113312577109
BaseRepresentation
bin100001000000000001001…
…0000000100100111110000
3121001120222102010120210211
41002000002100010213300
51043302222421412430
613351331323233504
7645452331243310
oct102000220044760
917046872116724
104535523232240
111499560695240
12613021678894
1326b90c697950
14119740351440
157cea557572a
hex420024049f0

4535523232240 has 640 divisors, whose sum is σ = 14674100797440. Its totient is φ = 1257740697600.

The previous prime is 4535523232231. The next prime is 4535523232249. The reversal of 4535523232240 is 422323255354.

It is an interprime number because it is at equal distance from previous prime (4535523232231) and next prime (4535523232249).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4535523232193 and 4535523232202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4535523232249) 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 127 ways as a sum of consecutive naturals, for example, 637993806 + ... + 638000914.

It is an arithmetic number, because the mean of its divisors is an integer number (22928282496).

Almost surely, 24535523232240 is an apocalyptic number.

4535523232240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4535523232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7337050398720).

4535523232240 is an abundant number, since it is smaller than the sum of its proper divisors (10138577565200).

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

4535523232240 is a wasteful number, since it uses less digits than its factorization.

4535523232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7441 (or 7435 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 40.

Adding to 4535523232240 its reverse (422323255354), we get a palindrome (4957846487594).

The spelling of 4535523232240 in words is "four trillion, five hundred thirty-five billion, five hundred twenty-three million, two hundred thirty-two thousand, two hundred forty".