Search a number
-
+
78163200000 = 21132552359
BaseRepresentation
bin100100011001011100…
…0111100100000000000
321110202022211222002100
41020302320330200000
52240034234400000
655524020350400
75434646144364
oct1106270744000
9243668758070
1078163200000
11301700a8056
1213194845400
1374a872b902
143ad6c432a4
1520770e6a00
hex1232e3c800

78163200000 has 864 divisors, whose sum is σ = 299427710400. Its totient is φ = 19599360000.

The previous prime is 78163199987. The next prime is 78163200043. The reversal of 78163200000 is 236187.

It is a super-2 number, since 2×781632000002 (a number of 23 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 1324799971 + ... + 1324800029.

It is an arithmetic number, because the mean of its divisors is an integer number (346559850).

Almost surely, 278163200000 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 78163200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149713855200).

78163200000 is an abundant number, since it is smaller than the sum of its proper divisors (221264510400).

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

78163200000 is an equidigital number, since it uses as much as digits as its factorization.

78163200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 78163200000 its reverse (236187), we get a palindrome (78163436187).

The spelling of 78163200000 in words is "seventy-eight billion, one hundred sixty-three million, two hundred thousand".