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9234054333504 = 2634711213161771
BaseRepresentation
bin1000011001011111100010…
…0001110100010001000000
31012200202201010022220020000
42012113320201310101000
52202242320402133004
631350022131120000
71642065321531360
oct206277041642100
935622633286200
109234054333504
112a4015aa38100
121051756143000
1351c9c950a360
1423cd0586a9a0
151102eb683c39
hex865f8874440

9234054333504 has 840 divisors, whose sum is σ = 37030716026304. Its totient is φ = 2213945395200.

The previous prime is 9234054333499. The next prime is 9234054333571. The reversal of 9234054333504 is 4053334504329.

It is a happy number.

9234054333504 is a `hidden beast` number, since 9 + 23 + 4 + 0 + 543 + 33 + 50 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 9234054333504.

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 119 ways as a sum of consecutive naturals, for example, 57000139 + ... + 57161909.

Almost surely, 29234054333504 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 9234054333504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18515358013152).

9234054333504 is an abundant number, since it is smaller than the sum of its proper divisors (27796661692800).

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

9234054333504 is a wasteful number, since it uses less digits than its factorization.

9234054333504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161837 (or 161807 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 45.

The spelling of 9234054333504 in words is "nine trillion, two hundred thirty-four billion, fifty-four million, three hundred thirty-three thousand, five hundred four".