Search a number
-
+
8242477846992 = 243319079809831
BaseRepresentation
bin111011111110001100111…
…1101101101000111010000
31002011222021110020021221000
41313330121331231013100
52040021043312100432
625310313025502000
71510333166465604
oct167743175550720
932158243207830
108242477846992
112698684955604
12b115451a1900
1347a35443992c
14206d1c053504
15e46146c357c
hex77f19f6d1d0

8242477846992 has 40 divisors (see below), whose sum is σ = 23658964191680. Its totient is φ = 2747492615520.

The previous prime is 8242477846961. The next prime is 8242477846997. The reversal of 8242477846992 is 2996487742428.

8242477846992 is a `hidden beast` number, since 8 + 2 + 4 + 2 + 4 + 7 + 78 + 469 + 92 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 8242477846992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8242477846997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9539904484 + ... + 9539905347.

It is an arithmetic number, because the mean of its divisors is an integer number (591474104792).

Almost surely, 28242477846992 is an apocalyptic number.

It is an amenable number.

8242477846992 is an abundant number, since it is smaller than the sum of its proper divisors (15416486344688).

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

8242477846992 is a wasteful number, since it uses less digits than its factorization.

8242477846992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19079809848 (or 19079809836 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 72.

The spelling of 8242477846992 in words is "eight trillion, two hundred forty-two billion, four hundred seventy-seven million, eight hundred forty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 19079809831 38159619662 57239429493 76319239324 114478858986 152638478648 171718288479 228957717972 305276957296 343436576958 457915435944 515154865437 686873153916 915830871888 1030309730874 1373746307832 2060619461748 2747492615664 4121238923496 8242477846992