Search a number
-
+
9560120808960 = 29335294769377
BaseRepresentation
bin1000101100011110001110…
…0110101101011000000000
31020211221100020221002002000
42023013203212231120000
52223113111411341320
632155505303224000
72004460464043221
oct213074346553000
936757306832060
109560120808960
113056473a681a7
1210a4995148000
135446917b5b27
142509d8849248
15118a32477c90
hex8b1e39ad600

9560120808960 has 320 divisors, whose sum is σ = 35129330596800. Its totient is φ = 2461455876096.

The previous prime is 9560120808941. The next prime is 9560120809007. The reversal of 9560120808960 is 698080210659.

It is a happy number.

9560120808960 is a `hidden beast` number, since 9 + 5 + 601 + 20 + 8 + 0 + 8 + 9 + 6 + 0 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 9560120808897 and 9560120808906.

It is a congruent number.

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, 380209 + ... + 4389168.

It is an arithmetic number, because the mean of its divisors is an integer number (109779158115).

Almost surely, 29560120808960 is an apocalyptic number.

9560120808960 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 9560120808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17564665298400).

9560120808960 is an abundant number, since it is smaller than the sum of its proper divisors (25569209787840).

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

9560120808960 is a wasteful number, since it uses less digits than its factorization.

9560120808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4769438 (or 4769416 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 9560120808960 in words is "nine trillion, five hundred sixty billion, one hundred twenty million, eight hundred eight thousand, nine hundred sixty".