Search a number
-
+
40836472704 = 27357916619
BaseRepresentation
bin100110000010000010…
…110001111110000000
310220101222000202100000
4212002002301332000
51132113114111304
630432055200000
72643652201506
oct460202617600
9126358022300
1040836472704
11163561403a5
127ab8076000
133b0a465621
141d9570c676
1510e0165939
hex9820b1f80

40836472704 has 192 divisors, whose sum is σ = 123413472000. Its totient is φ = 13439043072.

The previous prime is 40836472693. The next prime is 40836472739. The reversal of 40836472704 is 40727463804.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 40836472704.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2448907 + ... + 2465525.

It is an arithmetic number, because the mean of its divisors is an integer number (642778500).

Almost surely, 240836472704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40836472704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61706736000).

40836472704 is an abundant number, since it is smaller than the sum of its proper divisors (82576999296).

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

40836472704 is an equidigital number, since it uses as much as digits as its factorization.

40836472704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16727 (or 16703 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 40836472704 in words is "forty billion, eight hundred thirty-six million, four hundred seventy-two thousand, seven hundred four".