Search a number
-
+
7989055488000 = 2153353294753
BaseRepresentation
bin111010001000001100011…
…0100001000000000000000
31001021202011000100120212000
41310100120310020000000
52021343041201104000
624554042121104000
71453122146126046
oct164203064100000
931252130316760
107989055488000
1126001596043a4
12a903ba628000
1345c498326b62
141d895acd4396
15dcc311d7000
hex74418d08000

7989055488000 has 2048 divisors, whose sum is σ = 31799049984000. Its totient is φ = 1975202611200.

The previous prime is 7989055487981. The next prime is 7989055488031. The reversal of 7989055488000 is 8845509897.

It is a happy number.

7989055488000 is a `hidden beast` number, since 7 + 9 + 8 + 9 + 0 + 5 + 548 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2048).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 150736895974 + ... + 150736896026.

It is an arithmetic number, because the mean of its divisors is an integer number (15526879875).

Almost surely, 27989055488000 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 7989055488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15899524992000).

7989055488000 is an abundant number, since it is smaller than the sum of its proper divisors (23809994496000).

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

7989055488000 is an equidigital number, since it uses as much as digits as its factorization.

7989055488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 7989055488000 in words is "seven trillion, nine hundred eighty-nine billion, fifty-five million, four hundred eighty-eight thousand".