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60205000064 = 27112171072137
BaseRepresentation
bin111000000100011111…
…110110010110000000
312202101210022212222012
4320010133312112000
51441244440000224
643354030032052
74230636025346
oct700437662600
9182353285865
1060205000064
1123595175700
12b802648628
1358a60752c1
142cb1bb7996
15187574880e
hexe047f6580

60205000064 has 192 divisors, whose sum is σ = 140959964880. Its totient is φ = 25503498240.

The previous prime is 60205000061. The next prime is 60205000073. The reversal of 60205000064 is 46000050206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60205000061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28171604 + ... + 28173740.

Almost surely, 260205000064 is an apocalyptic number.

60205000064 is a gapful number since it is divisible by the number (64) 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 60205000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70479982440).

60205000064 is an abundant number, since it is smaller than the sum of its proper divisors (80754964816).

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

60205000064 is a wasteful number, since it uses less digits than its factorization.

60205000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The spelling of 60205000064 in words is "sixty billion, two hundred five million, sixty-four", and thus it is an aban number.