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9390498329664 = 263847292
BaseRepresentation
bin1000100010100110010101…
…0100010011010001000000
31020020201111222022100000000
42020221211110103101000
52212323220033022124
631545534013000000
71656304205543424
oct210514524232100
936221458270000
109390498329664
112aa0540551a11
121077b36a83000
1353169bb2c59a
14246706da4b84
15114405d506c9
hex88a65513440

9390498329664 has 189 divisors, whose sum is σ = 27955896692997. Its totient is φ = 3129504201216.

The previous prime is 9390498329609. The next prime is 9390498329671. The reversal of 9390498329664 is 4669238940939.

The square root of 9390498329664 is 3064392.

It is a perfect power (a square), and thus also a powerful number.

9390498329664 is a `hidden beast` number, since 9 + 390 + 4 + 98 + 3 + 2 + 96 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 193592960064 + 9196905369600 = 439992^2 + 3032640^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 9390498329592 and 9390498329601.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1985723652 + ... + 1985728380.

Almost surely, 29390498329664 is an apocalyptic number.

9390498329664 is the 3064392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9390498329664

9390498329664 is an abundant number, since it is smaller than the sum of its proper divisors (18565398363333).

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

9390498329664 is an frugal number, since it uses more digits than its factorization.

9390498329664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9494 (or 4734 counting only the distinct ones).

The product of its (nonzero) digits is 544195584, while the sum is 72.

The spelling of 9390498329664 in words is "nine trillion, three hundred ninety billion, four hundred ninety-eight million, three hundred twenty-nine thousand, six hundred sixty-four".