Search a number
-
+
66798236160 = 2932519331461
BaseRepresentation
bin111110001101011111…
…000011001000000000
320101102021122222120200
4332031133003020000
52043300322024120
650404154005200
74553215432125
oct761537031000
9211367588520
1066798236160
1126368954557
1210b42716800
1363b700c036
1433396cc74c
151b0e4b4e90
hexf8d7c3200

66798236160 has 480 divisors, whose sum is σ = 244782457920. Its totient is φ = 16787865600.

The previous prime is 66798236143. The next prime is 66798236161. The reversal of 66798236160 is 6163289766.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 66798236097 and 66798236106.

It is not an unprimeable number, because it can be changed into a prime (66798236161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144898330 + ... + 144898790.

It is an arithmetic number, because the mean of its divisors is an integer number (509963454).

Almost surely, 266798236160 is an apocalyptic number.

66798236160 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 66798236160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122391228960).

66798236160 is an abundant number, since it is smaller than the sum of its proper divisors (177984221760).

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

66798236160 is a wasteful number, since it uses less digits than its factorization.

66798236160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 66798236160 in words is "sixty-six billion, seven hundred ninety-eight million, two hundred thirty-six thousand, one hundred sixty".