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5345969580 = 22325721922373
BaseRepresentation
bin1001111101010010…
…10000010110101100
3111210120101101121100
410332221100112230
541422032011310
62242250403100
7246322664100
oct47651202654
914716341540
105345969580
1122a372a086
121052430490
13672733413
14389ddd900
152144e5ec0
hex13ea505ac

5345969580 has 648 divisors, whose sum is σ = 21058888032. Its totient is φ = 1092123648.

The previous prime is 5345969567. The next prime is 5345969593. The reversal of 5345969580 is 859695435.

It is a happy number.

5345969580 is a `hidden beast` number, since 5 + 3 + 4 + 59 + 6 + 9 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (5345969567) and next prime (5345969593).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 73232424 + ... + 73232496.

It is an arithmetic number, because the mean of its divisors is an integer number (32498284).

Almost surely, 25345969580 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 5345969580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10529444016).

5345969580 is an abundant number, since it is smaller than the sum of its proper divisors (15712918452).

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

5345969580 is a wasteful number, since it uses less digits than its factorization.

5345969580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The square root of 5345969580 is about 73116.1376168080. The cubic root of 5345969580 is about 1748.5396884285.

The spelling of 5345969580 in words is "five billion, three hundred forty-five million, nine hundred sixty-nine thousand, five hundred eighty".