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60493485312 = 2835131931127
BaseRepresentation
bin111000010101101100…
…010101010100000000
312210010220011110100000
4320111230111110000
51442342313012222
643442413200000
74241041066251
oct702554252400
9183126143300
1060493485312
1123722aa4967
12b883190000
135920a70c30
142cdc230b28
151890c309ac
hexe15b15500

60493485312 has 864 divisors, whose sum is σ = 213324267520. Its totient is φ = 16930529280.

The previous prime is 60493485229. The next prime is 60493485323. The reversal of 60493485312 is 21358439406.

60493485312 is a `hidden beast` number, since 60 + 493 + 48 + 53 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 476326593 + ... + 476326719.

Almost surely, 260493485312 is an apocalyptic number.

60493485312 is a gapful number since it is divisible by the number (62) 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 60493485312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106662133760).

60493485312 is an abundant number, since it is smaller than the sum of its proper divisors (152830782208).

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

60493485312 is a wasteful number, since it uses less digits than its factorization.

60493485312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 60493485312 in words is "sixty billion, four hundred ninety-three million, four hundred eighty-five thousand, three hundred twelve".