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6012048420 = 22365758907
BaseRepresentation
bin1011001100101100…
…01001010000100100
3120111222201201000000
411212112021100210
544303041022140
62432323021300
7301661365650
oct54626112044
916458651000
106012048420
11260570aa64
1211b950a830
1374a726b01
14410667a60
15252c17a30
hex166589424

6012048420 has 168 divisors, whose sum is σ = 21633845184. Its totient is φ = 1374159168.

The previous prime is 6012048403. The next prime is 6012048421. The reversal of 6012048420 is 248402106.

6012048420 is a `hidden beast` number, since 60 + 120 + 484 + 2 + 0 = 666.

It is a super-2 number, since 2×60120484202 = 72289452408848992800, which contains 22 as substring.

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 (6012048421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 72607 + ... + 131513.

It is an arithmetic number, because the mean of its divisors is an integer number (128772888).

Almost surely, 26012048420 is an apocalyptic number.

6012048420 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 6012048420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10816922592).

6012048420 is an abundant number, since it is smaller than the sum of its proper divisors (15621796764).

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

6012048420 is a wasteful number, since it uses less digits than its factorization.

6012048420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58941 (or 58924 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 6012048420 is about 77537.4001369662. The cubic root of 6012048420 is about 1818.3360813824.

The spelling of 6012048420 in words is "six billion, twelve million, forty-eight thousand, four hundred twenty".