Search a number
-
+
4946786165160 = 23325717446325873
BaseRepresentation
bin100011111111100001101…
…1011101010000110101000
3122111220112000220020012100
41013333003123222012220
51122022004224241120
614304304443213400
71020251654425410
oct107770333520650
918456460806170
104946786165160
111637a13911864
1267a878817260
1329b631550828
141315d62a9640
1588a25b49490
hex47fc36ea1a8

4946786165160 has 384 divisors, whose sum is σ = 19459698785280. Its totient is φ = 1063903002624.

The previous prime is 4946786165071. The next prime is 4946786165161. The reversal of 4946786165160 is 615616876494.

It is a happy number.

4946786165160 is a `hidden beast` number, since 4 + 9 + 4 + 6 + 7 + 8 + 616 + 5 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4946786165161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191181984 + ... + 191207856.

It is an arithmetic number, because the mean of its divisors is an integer number (50676298920).

Almost surely, 24946786165160 is an apocalyptic number.

4946786165160 is a gapful number since it is divisible by the number (40) 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 4946786165160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9729849392640).

4946786165160 is an abundant number, since it is smaller than the sum of its proper divisors (14512912620120).

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

4946786165160 is a wasteful number, since it uses less digits than its factorization.

4946786165160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30377 (or 30370 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 4946786165160 in words is "four trillion, nine hundred forty-six billion, seven hundred eighty-six million, one hundred sixty-five thousand, one hundred sixty".