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9342068736 = 211373111331
BaseRepresentation
bin10001011001101010…
…01010100000000000
3220010001202021002210
420230311022200000
5123113032144421
64143000542120
7450335163000
oct105465124000
926101667083
109342068736
113a64399570
121988781940
13b5b5ba430
14648a1a000
1539a24a576
hex22cd4a800

9342068736 has 768 divisors, whose sum is σ = 35223552000. Its totient is φ = 2167603200.

The previous prime is 9342068719. The next prime is 9342068741. The reversal of 9342068736 is 6378602439.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 301357041 + ... + 301357071.

It is an arithmetic number, because the mean of its divisors is an integer number (45864000).

Almost surely, 29342068736 is an apocalyptic number.

9342068736 is a gapful number since it is divisible by the number (96) 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 9342068736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17611776000).

9342068736 is an abundant number, since it is smaller than the sum of its proper divisors (25881483264).

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

9342068736 is a wasteful number, since it uses less digits than its factorization.

9342068736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The square root of 9342068736 is about 96654.3777384139. The cubic root of 9342068736 is about 2106.1098508819.

The spelling of 9342068736 in words is "nine billion, three hundred forty-two million, sixty-eight thousand, seven hundred thirty-six".