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61384070592 = 263513303617
BaseRepresentation
bin111001001010110001…
…101001010111000000
312212102221221212200000
4321022301221113000
52001203310224332
644111025400000
74302103663635
oct711261512700
9185387855600
1061384070592
112403a786859
12ba91499000
135a3341c280
142d8461a18c
1518e3eecb7c
hexe4ac695c0

61384070592 has 168 divisors, whose sum is σ = 196499140656. Its totient is φ = 18887344128.

The previous prime is 61384070591. The next prime is 61384070647. The reversal of 61384070592 is 29507048316.

61384070592 is a `hidden beast` number, since 6 + 13 + 8 + 40 + 7 + 0 + 592 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61384070591) 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, 50368 + ... + 353984.

It is an arithmetic number, because the mean of its divisors is an integer number (1169637742).

It is a 1-persistent number, because it is pandigital, but 2⋅61384070592 = 122768141184 is not.

Almost surely, 261384070592 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 61384070592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98249570328).

61384070592 is an abundant number, since it is smaller than the sum of its proper divisors (135115070064).

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

61384070592 is a wasteful number, since it uses less digits than its factorization.

61384070592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303657 (or 303635 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 61384070592 in words is "sixty-one billion, three hundred eighty-four million, seventy thousand, five hundred ninety-two".