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5976409068 = 223672151277
BaseRepresentation
bin1011001000011100…
…01100001111101100
3120102111200001000000
411210032030033230
544214430042233
62425011104300
7301046432100
oct54416141754
916374601000
105976409068
112597588653
1211a95a2090
13743229036
14409a2b900
1524ea27d13
hex16438c3ec

5976409068 has 252 divisors, whose sum is σ = 18428137392. Its totient is φ = 1690113600.

The previous prime is 5976409063. The next prime is 5976409073. The reversal of 5976409068 is 8609046795.

5976409068 is a `hidden beast` number, since 597 + 6 + 40 + 9 + 0 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5976409063) and next prime (5976409073).

It is a tau number, because it is divible by the number of its divisors (252).

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

It is not an unprimeable number, because it can be changed into a prime (5976409063) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 21575346 + ... + 21575622.

Almost surely, 25976409068 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 5976409068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9214068696).

5976409068 is an abundant number, since it is smaller than the sum of its proper divisors (12451728324).

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

5976409068 is a wasteful number, since it uses less digits than its factorization.

5976409068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 5976409068 is about 77307.2381346016. The cubic root of 5976409068 is about 1814.7359331691.

The spelling of 5976409068 in words is "five billion, nine hundred seventy-six million, four hundred nine thousand, sixty-eight".