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5232257072640 = 293251322976283
BaseRepresentation
bin100110000100011101011…
…0100101111111000000000
3200112012100222202212212200
41030020322310233320000
51141211130302311030
615043355443353200
71050006131206533
oct114107264577000
920465328685780
105232257072640
111737a95792884
12706068382800
132bc527270570
14141357968a1a
1591182a11d60
hex4c23ad2fe00

5232257072640 has 480 divisors, whose sum is σ = 19600157697120. Its totient is φ = 1282299199488.

The previous prime is 5232257072639. The next prime is 5232257072641. The reversal of 5232257072640 is 462707522325.

5232257072640 is a `hidden beast` number, since 5 + 2 + 3 + 2 + 2 + 570 + 72 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5232257072639) and next prime (5232257072641).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5232257072641) 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 47 ways as a sum of consecutive naturals, for example, 68551939 + ... + 68628221.

It is an arithmetic number, because the mean of its divisors is an integer number (40833661869).

Almost surely, 25232257072640 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 5232257072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9800078848560).

5232257072640 is an abundant number, since it is smaller than the sum of its proper divisors (14367900624480).

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

5232257072640 is a wasteful number, since it uses less digits than its factorization.

5232257072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76554 (or 76535 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 5232257072640 in words is "five trillion, two hundred thirty-two billion, two hundred fifty-seven million, seventy-two thousand, six hundred forty".