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999839068704 = 253273121373767
BaseRepresentation
bin11101000110010110000…
…11010111001000100000
310112120202111121021020200
432203023003113020200
5112340132300144304
62043153021105200
7132143641600410
oct16431303271040
93476674537220
10999839068704
113560360a7923
121419380b8200
1373390b40218
143656cd14640
151b01c577e39
hexe8cb0d7220

999839068704 has 432 divisors, whose sum is σ = 3383086621824. Its totient is φ = 274362439680.

The previous prime is 999839068699. The next prime is 999839068729. The reversal of 999839068704 is 407860938999.

999839068704 is a `hidden beast` number, since 99 + 98 + 390 + 68 + 7 + 0 + 4 = 666.

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 265418629 + ... + 265422395.

It is an arithmetic number, because the mean of its divisors is an integer number (7831219032).

Almost surely, 2999839068704 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 999839068704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691543310912).

999839068704 is an abundant number, since it is smaller than the sum of its proper divisors (2383247553120).

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

999839068704 is a wasteful number, since it uses less digits than its factorization.

999839068704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3989 (or 3947 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 999839068704 in words is "nine hundred ninety-nine billion, eight hundred thirty-nine million, sixty-eight thousand, seven hundred four".