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5342369760 = 2532571359691
BaseRepresentation
bin1001111100110111…
…00001011111100000
3111210022121111120200
410332123201133200
541420121313020
62242041305200
7246250252020
oct47633413740
914708544520
105342369760
1122a16a0522
121051195200
13671a72a50
14389743a80
15214034590
hex13e6e17e0

5342369760 has 576 divisors, whose sum is σ = 22851279360. Its totient is φ = 1106472960.

The previous prime is 5342369743. The next prime is 5342369761. The reversal of 5342369760 is 679632435.

5342369760 is a `hidden beast` number, since 534 + 23 + 6 + 97 + 6 + 0 = 666.

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 (5342369761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7731015 + ... + 7731705.

It is an arithmetic number, because the mean of its divisors is an integer number (39672360).

Almost surely, 25342369760 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 5342369760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11425639680).

5342369760 is an abundant number, since it is smaller than the sum of its proper divisors (17508909600).

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

5342369760 is a wasteful number, since it uses less digits than its factorization.

5342369760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 5342369760 is about 73091.5163339768. The cubic root of 5342369760 is about 1748.1471284259.

The spelling of 5342369760 in words is "five billion, three hundred forty-two million, three hundred sixty-nine thousand, seven hundred sixty".