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6000060000 = 25354119091
BaseRepresentation
bin1011001011010000…
…11010011001100000
3120111011011121222110
411211220122121200
544242003410000
62431214035320
7301454445204
oct54550323140
916434147873
106000060000
1125a9971980
1211b54a8b40
137480ba17c
1440cc26b04
15251b4a850
hex165a1a660

6000060000 has 240 divisors, whose sum is σ = 21472976448. Its totient is φ = 1454400000.

The previous prime is 6000059983. The next prime is 6000060023. The reversal of 6000060000 is 600006.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 655455 + ... + 664545.

Almost surely, 26000060000 is an apocalyptic number.

6000060000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6000060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10736488224).

6000060000 is an abundant number, since it is smaller than the sum of its proper divisors (15472916448).

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

6000060000 is a wasteful number, since it uses less digits than its factorization.

6000060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9135 (or 9112 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 6000060000 is about 77460.0542215147. The cubic root of 6000060000 is about 1817.1266498806.

Adding to 6000060000 its reverse (600006), we get a palindrome (6000660006).

6000060000 divided by its reverse (600006) gives a 4-th power (10000 = 104).

The spelling of 6000060000 in words is "six billion, sixty thousand", and thus it is an eban number.