Search a number
-
+
39800771712 = 273513257383
BaseRepresentation
bin100101000100010011…
…111001010010000000
310210201210011200200000
4211010103321102000
51123002444143322
630141220400000
72606204656212
oct450423712200
9123653150600
1039800771712
1115974552969
127869246000
1339a3a085c0
141cd7d4a5b2
15107e2813ac
hex9444f9480

39800771712 has 384 divisors, whose sum is σ = 128742082560. Its totient is φ = 12166889472.

The previous prime is 39800771711. The next prime is 39800771713. The reversal of 39800771712 is 21717700893.

It is an interprime number because it is at equal distance from previous prime (39800771711) and next prime (39800771713).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (39800771711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103918273 + ... + 103918655.

It is an arithmetic number, because the mean of its divisors is an integer number (335265840).

Almost surely, 239800771712 is an apocalyptic number.

39800771712 is a gapful number since it is divisible by the number (32) 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 39800771712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64371041280).

39800771712 is an abundant number, since it is smaller than the sum of its proper divisors (88941310848).

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

39800771712 is a wasteful number, since it uses less digits than its factorization.

39800771712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 39800771712 in words is "thirty-nine billion, eight hundred million, seven hundred seventy-one thousand, seven hundred twelve".