Search a number
-
+
60074206080 = 2735719435471
BaseRepresentation
bin110111111100101100…
…111010001110000000
312202001200012212100120
4313330230322032000
51441012444043310
643333034420240
74224460216650
oct677454721600
9182050185316
1060074206080
11235283611a9
12b786891680
135884c3c305
142c9c68c360
15186900eb70
hexdfcb3a380

60074206080 has 512 divisors, whose sum is σ = 235760025600. Its totient is φ = 12703703040.

The previous prime is 60074206039. The next prime is 60074206151. The reversal of 60074206080 is 8060247006.

It is a super-2 number, since 2×600742060802 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10977745 + ... + 10983215.

It is an arithmetic number, because the mean of its divisors is an integer number (460468800).

Almost surely, 260074206080 is an apocalyptic number.

60074206080 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 60074206080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117880012800).

60074206080 is an abundant number, since it is smaller than the sum of its proper divisors (175685819520).

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

60074206080 is a wasteful number, since it uses less digits than its factorization.

60074206080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5562 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 60074206080 in words is "sixty billion, seventy-four million, two hundred six thousand, eighty".