Search a number
-
+
60261097680 = 24325721989899
BaseRepresentation
bin111000000111110101…
…110110000011010000
312202112200212221102200
4320013311312003100
51441403320111210
643403352243200
74232216610300
oct700765660320
9182480787380
1060261097680
1123613900673
12b8193a0500
1358b4886c64
142cb941b600
15187a62a0c0
hexe07d760d0

60261097680 has 360 divisors, whose sum is σ = 247811148000. Its totient is φ = 13048874496.

The previous prime is 60261097627. The next prime is 60261097681. The reversal of 60261097680 is 8679016206.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60261097681) 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 71 ways as a sum of consecutive naturals, for example, 625371 + ... + 715269.

It is an arithmetic number, because the mean of its divisors is an integer number (688364300).

Almost surely, 260261097680 is an apocalyptic number.

60261097680 is a gapful number since it is divisible by the number (60) 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 60261097680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123905574000).

60261097680 is an abundant number, since it is smaller than the sum of its proper divisors (187550050320).

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

60261097680 is a wasteful number, since it uses less digits than its factorization.

60261097680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89951 (or 89935 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 60261097680 in words is "sixty billion, two hundred sixty-one million, ninety-seven thousand, six hundred eighty".