Search a number
-
+
985036308480 = 21435577069
BaseRepresentation
bin11100101010110001011…
…11010100000000000000
310111011112212121010200000
432111120233110000000
5112114323243332410
62032304110400000
7131111055321150
oct16253057240000
93434485533600
10985036308480
1134a82a352a94
1213aaa6800000
1371b72122cc3
1435966d94760
151a952c24dc0
hexe558bd4000

985036308480 has 720 divisors, whose sum is σ = 4047610519680. Its totient is φ = 225119305728.

The previous prime is 985036308457. The next prime is 985036308491. The reversal of 985036308480 is 84803630589.

It is a happy number.

985036308480 is a `hidden beast` number, since 98 + 503 + 6 + 3 + 0 + 8 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139342386 + ... + 139349454.

Almost surely, 2985036308480 is an apocalyptic number.

985036308480 is a gapful number since it is divisible by the number (90) 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 985036308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023805259840).

985036308480 is an abundant number, since it is smaller than the sum of its proper divisors (3062574211200).

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

985036308480 is an frugal number, since it uses more digits than its factorization.

985036308480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7124 (or 7086 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 985036308480 in words is "nine hundred eighty-five billion, thirty-six million, three hundred eight thousand, four hundred eighty".