Search a number
-
+
60291449856 = 2103211738147
BaseRepresentation
bin111000001001101001…
…101000010000000000
312202121210222222210100
4320021221220100000
51441434102343411
643410355002400
74233035603511
oct701151502000
9182553888710
1060291449856
1123629a51710
12b827599400
1358bac53321
142cbd47ca08
15187d123456
hexe09a68400

60291449856 has 264 divisors, whose sum is σ = 192541868064. Its totient is φ = 18017648640.

The previous prime is 60291449851. The next prime is 60291449899. The reversal of 60291449856 is 65894419206.

60291449856 is a `hidden beast` number, since 60 + 2 + 91 + 4 + 498 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is not an unprimeable number, because it can be changed into a prime (60291449851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7396375 + ... + 7404521.

Almost surely, 260291449856 is an apocalyptic number.

60291449856 is a gapful number since it is divisible by the number (66) 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 60291449856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96270934032).

60291449856 is an abundant number, since it is smaller than the sum of its proper divisors (132250418208).

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

60291449856 is a wasteful number, since it uses less digits than its factorization.

60291449856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8257 (or 8236 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 60291449856 in words is "sixty billion, two hundred ninety-one million, four hundred forty-nine thousand, eight hundred fifty-six".