Search a number
-
+
990670069620000 = 253354711192312129
BaseRepresentation
bin1110000101000000100101100…
…1100101101101110100100000
311210220200010121111010121002000
43201100021121211231310200
52014322114300310320000
613430551314103524000
7415445356564404510
oct34120113145556440
94726603544117060
10990670069620000
112677268a9648780
129313a5b5a59600
13336a1a2c53b873
141368c9899a7840
15797e9069da000
hex385025996dd20

990670069620000 has 5760 divisors, whose sum is σ = 4906562837299200. Its totient is φ = 188639539200000.

The previous prime is 990670069619983. The next prime is 990670069620013. The reversal of 990670069620000 is 26960076099.

It is a happy number.

990670069620000 is a `hidden beast` number, since 9 + 9 + 0 + 6 + 7 + 0 + 0 + 6 + 9 + 620 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 465321778936 + ... + 465321781064.

It is an arithmetic number, because the mean of its divisors is an integer number (851833825920).

Almost surely, 2990670069620000 is an apocalyptic number.

990670069620000 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 990670069620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453281418649600).

990670069620000 is an abundant number, since it is smaller than the sum of its proper divisors (3915892767679200).

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

990670069620000 is a wasteful number, since it uses less digits than its factorization.

990670069620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 990670069620000 in words is "nine hundred ninety trillion, six hundred seventy billion, sixty-nine million, six hundred twenty thousand".