Search a number
-
+
27067652976 = 243713293161113
BaseRepresentation
bin11001001101010110…
…111001101101110000
32120212101120020110210
4121031112321231300
5420413304343401
620233521424120
71645522153110
oct311526715560
976771506423
1027067652976
111052aa91341
1252b4a9b040
132724a0a010
14144ac13040
15a8649a4d6
hex64d5b9b70

27067652976 has 640 divisors, whose sum is σ = 94233968640. Its totient is φ = 6502809600.

The previous prime is 27067652959. The next prime is 27067652987. The reversal of 27067652976 is 67925676072.

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 127 ways as a sum of consecutive naturals, for example, 239536696 + ... + 239536808.

It is an arithmetic number, because the mean of its divisors is an integer number (147240576).

Almost surely, 227067652976 is an apocalyptic number.

27067652976 is a gapful number since it is divisible by the number (26) 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 27067652976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47116984320).

27067652976 is an abundant number, since it is smaller than the sum of its proper divisors (67166315664).

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

27067652976 is a wasteful number, since it uses less digits than its factorization.

27067652976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 57.

The spelling of 27067652976 in words is "twenty-seven billion, sixty-seven million, six hundred fifty-two thousand, nine hundred seventy-six".