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6130473120 = 253351923931
BaseRepresentation
bin1011011010110011…
…11001100010100000
3120211020120022011000
411231121321202200
5100023400114440
62452153152000
7304630106322
oct55531714240
916736508130
106130473120
112666546212
1212310bb600
1376911b9b5
14422293612
1525d30b730
hex16d6798a0

6130473120 has 288 divisors, whose sum is σ = 22651151040. Its totient is φ = 1548357120.

The previous prime is 6130473113. The next prime is 6130473121. The reversal of 6130473120 is 213740316.

6130473120 is a `hidden beast` number, since 613 + 0 + 47 + 3 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6130473121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1557555 + ... + 1561485.

It is an arithmetic number, because the mean of its divisors is an integer number (78649830).

Almost surely, 26130473120 is an apocalyptic number.

6130473120 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 6130473120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11325575520).

6130473120 is an abundant number, since it is smaller than the sum of its proper divisors (16520677920).

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

6130473120 is a wasteful number, since it uses less digits than its factorization.

6130473120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3993 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 6130473120 is about 78297.3378857800. The cubic root of 6130473120 is about 1830.1976674415.

The spelling of 6130473120 in words is "six billion, one hundred thirty million, four hundred seventy-three thousand, one hundred twenty".