Search a number
-
+
985688936960 = 2957136736287
BaseRepresentation
bin11100101011111111010…
…00111001001000000000
310111020020100122002122012
432111333220321020000
5112122142331440320
62032452542432052
7131133201503120
oct16257750711000
93436210562565
10985688936960
11350034787472
1213b049292628
1371c473b74c0
14359c991ac80
151a99018b4c5
hexe57fa39200

985688936960 has 320 divisors, whose sum is σ = 2913515523072. Its totient is φ = 311441227776.

The previous prime is 985688936933. The next prime is 985688936971. The reversal of 985688936960 is 69639886589.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156778937 + ... + 156785223.

Almost surely, 2985688936960 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 985688936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456757761536).

985688936960 is an abundant number, since it is smaller than the sum of its proper divisors (1927826586112).

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

985688936960 is a wasteful number, since it uses less digits than its factorization.

985688936960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7003 (or 6987 counting only the distinct ones).

The product of its (nonzero) digits is 1209323520, while the sum is 77.

The spelling of 985688936960 in words is "nine hundred eighty-five billion, six hundred eighty-eight million, nine hundred thirty-six thousand, nine hundred sixty".