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299490094992 = 243112713492081
BaseRepresentation
bin1000101101110110000…
…00000010111110010000
31001122000222110011120110
410112323000002332100
514401323431014432
6345330040041320
730431433542664
oct4267300027620
91048028404513
10299490094992
11106016395100
124a062763240
132231b2b927a
14106d152c8a4
157bcca3adcc
hex45bb002f90

299490094992 has 240 divisors, whose sum is σ = 865275868800. Its totient is φ = 89177088000.

The previous prime is 299490094979. The next prime is 299490094997.

299490094992 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (299490094997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143915392 + ... + 143917472.

It is an arithmetic number, because the mean of its divisors is an integer number (3605316120).

Almost surely, 2299490094992 is an apocalyptic number.

299490094992 is a gapful number since it is divisible by the number (22) 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 299490094992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432637934400).

299490094992 is an abundant number, since it is smaller than the sum of its proper divisors (565785773808).

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

299490094992 is a wasteful number, since it uses less digits than its factorization.

299490094992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 2517 counting only the distinct ones).

The product of its (nonzero) digits is 34012224, while the sum is 66.

The spelling of 299490094992 in words is "two hundred ninety-nine billion, four hundred ninety million, ninety-four thousand, nine hundred ninety-two".