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992308217472 = 27321113172191097
BaseRepresentation
bin11100111000010100010…
…11011100011010000000
310111212022122222101110200
432130022023130122000
5112224221400424342
62035505440525200
7131456215452045
oct16341213343200
93455278871420
10992308217472
11352921134930
12140396020800
137276086c930
1436056a911cc
151ac2b34e94c
hexe70a2dc680

992308217472 has 1152 divisors, whose sum is σ = 3754598702400. Its totient is φ = 247266017280.

The previous prime is 992308217441. The next prime is 992308217479. The reversal of 992308217472 is 274712803299.

It is a happy number.

992308217472 is a `hidden beast` number, since 9 + 92 + 3 + 0 + 82 + 1 + 7 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (992308217479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 904564828 + ... + 904565924.

Almost surely, 2992308217472 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 992308217472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1877299351200).

992308217472 is an abundant number, since it is smaller than the sum of its proper divisors (2762290484928).

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

992308217472 is a wasteful number, since it uses less digits than its factorization.

992308217472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 992308217472 in words is "nine hundred ninety-two billion, three hundred eight million, two hundred seventeen thousand, four hundred seventy-two".