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5308435968 = 29311417997
BaseRepresentation
bin1001111000110100…
…00100111000000000
3111200221202111011120
410330122010320000
541332424422333
62234430112240
7245355650463
oct47432047000
914627674146
105308435968
112284523570
12104194b680
13667a21394
1438502d2da
1521107edb3
hex13c684e00

5308435968 has 320 divisors, whose sum is σ = 16168965120. Its totient is φ = 1533542400.

The previous prime is 5308435967. The next prime is 5308435981. The reversal of 5308435968 is 8695348035.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5308435968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5308435961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54726096 + ... + 54726192.

It is an arithmetic number, because the mean of its divisors is an integer number (50528016).

Almost surely, 25308435968 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 5308435968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8084482560).

5308435968 is an abundant number, since it is smaller than the sum of its proper divisors (10860529152).

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

5308435968 is a wasteful number, since it uses less digits than its factorization.

5308435968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The square root of 5308435968 is about 72859.0143221825. The cubic root of 5308435968 is about 1744.4379563909.

The spelling of 5308435968 in words is "five billion, three hundred eight million, four hundred thirty-five thousand, nine hundred sixty-eight".