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5343809760 = 253453147283
BaseRepresentation
bin1001111101000010…
…00001000011100000
3111210102022122220000
410332201001003200
541421003403020
62242132220000
7246265430202
oct47641010340
914712278800
105343809760
1122a2494403
12105176a600
13672158313
143899da772
1521421b090
hex13e8410e0

5343809760 has 480 divisors, whose sum is σ = 19952013312. Its totient is φ = 1344936960.

The previous prime is 5343809753. The next prime is 5343809761. The reversal of 5343809760 is 679083435.

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 (5343809761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18882579 + ... + 18882861.

Almost surely, 25343809760 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 5343809760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9976006656).

5343809760 is an abundant number, since it is smaller than the sum of its proper divisors (14608203552).

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

5343809760 is a wasteful number, since it uses less digits than its factorization.

5343809760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 5343809760 is about 73101.3663346999. The cubic root of 5343809760 is about 1748.3041814339.

The spelling of 5343809760 in words is "five billion, three hundred forty-three million, eight hundred nine thousand, seven hundred sixty".