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5234726165760 = 283457313367
BaseRepresentation
bin100110000101100110111…
…1111100101110100000000
3200112102202001210210220000
41030023031333211310000
51141231204344301020
615044444444520000
71050124252152000
oct114131577456400
920472661723800
105234726165760
1117390424a7003
12706637250000
132bc82b96b000
1414150d852000
1591279685090
hex4c2cdfe5d00

5234726165760 has 2880 divisors, whose sum is σ = 24016149696000. Its totient is φ = 1087985074176.

The previous prime is 5234726165737. The next prime is 5234726165783. The reversal of 5234726165760 is 675616274325.

5234726165760 is a `hidden beast` number, since 5 + 2 + 3 + 4 + 7 + 2 + 61 + 6 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5234726165737) and next prime (5234726165783).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5234726165697 and 5234726165706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 78130241247 + ... + 78130241313.

Almost surely, 25234726165760 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 5234726165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12008074848000).

5234726165760 is an abundant number, since it is smaller than the sum of its proper divisors (18781423530240).

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

5234726165760 is an frugal number, since it uses more digits than its factorization.

5234726165760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 5234726165760 in words is "five trillion, two hundred thirty-four billion, seven hundred twenty-six million, one hundred sixty-five thousand, seven hundred sixty".