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992488492512 = 253511192332621
BaseRepresentation
bin11100111000101001110…
…11001000110111100000
310111212210020012022100000
432130110323020313200
5112230104023230022
62035535400500000
7131463534664206
oct16342473106740
93455706168300
10992488492512
11352a03975170
1214042647a600
137278c00ba5a
14360729bb076
151ac3c0ae6ac
hexe714ec8de0

992488492512 has 576 divisors, whose sum is σ = 3376771856640. Its totient is φ = 283593830400.

The previous prime is 992488492481. The next prime is 992488492529. The reversal of 992488492512 is 215294884299.

992488492512 is a `hidden beast` number, since 9 + 9 + 24 + 8 + 8 + 4 + 92 + 512 = 666.

992488492512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 992488492512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 378666562 + ... + 378669182.

It is an arithmetic number, because the mean of its divisors is an integer number (5862451140).

Almost surely, 2992488492512 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 992488492512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688385928320).

992488492512 is an abundant number, since it is smaller than the sum of its proper divisors (2384283364128).

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

992488492512 is a wasteful number, since it uses less digits than its factorization.

992488492512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2889 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 992488492512 in words is "nine hundred ninety-two billion, four hundred eighty-eight million, four hundred ninety-two thousand, five hundred twelve".