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60990085728 = 253311131925981
BaseRepresentation
bin111000110011010010…
…101101101001100000
312211102111121101001000
4320303102231221200
51444401430220403
644003553112000
74256251114005
oct706322555140
9184374541030
1060990085728
112395834a130
12b9a1558600
13599c905830
142d4817d8ac
1518be6267a3
hexe334ada60

60990085728 has 384 divisors, whose sum is σ = 219994790400. Its totient is φ = 16161638400.

The previous prime is 60990085721. The next prime is 60990085759. The reversal of 60990085728 is 82758009906.

It is a happy number.

60990085728 is a `hidden beast` number, since 60 + 9 + 9 + 0 + 0 + 8 + 572 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60990085721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2334498 + ... + 2360478.

It is an arithmetic number, because the mean of its divisors is an integer number (572903100).

Almost surely, 260990085728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60990085728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109997395200).

60990085728 is an abundant number, since it is smaller than the sum of its proper divisors (159004704672).

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

60990085728 is a wasteful number, since it uses less digits than its factorization.

60990085728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26043 (or 26029 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 60990085728 in words is "sixty billion, nine hundred ninety million, eighty-five thousand, seven hundred twenty-eight".