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60132741120 = 21235543281
BaseRepresentation
bin111000000000001100…
…001101000000000000
312202012202100202100000
4320000030031000000
51441122440203440
643342525200000
74226100603024
oct700014150000
9182182322300
1060132741120
1123558401471
12b7a2400000
1358940c552a
142ca6368384
15186e223730
hexe0030d000

60132741120 has 624 divisors, whose sum is σ = 221968498752. Its totient is φ = 15606743040.

The previous prime is 60132741049. The next prime is 60132741121. The reversal of 60132741120 is 2114723106.

60132741120 is a `hidden beast` number, since 601 + 3 + 2 + 7 + 41 + 12 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60132741121) 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, 213995380 + ... + 213995660.

It is an arithmetic number, because the mean of its divisors is an integer number (355718748).

Almost surely, 260132741120 is an apocalyptic number.

60132741120 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 60132741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110984249376).

60132741120 is an abundant number, since it is smaller than the sum of its proper divisors (161835757632).

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

60132741120 is an equidigital number, since it uses as much as digits as its factorization.

60132741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 60132741120 in words is "sixty billion, one hundred thirty-two million, seven hundred forty-one thousand, one hundred twenty".