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9420894795312 = 24377311213499
BaseRepresentation
bin1000100100010111100100…
…0101100111011000110000
31020100121222100121210000000
42021011321011213120300
52213322443031422222
632011522130430000
71661431361334000
oct211057105473060
936317870553000
109420894795312
113002419567500
1210819ba732300
13534504399330
14247d8bd34000
151150d46909ac
hex89179167630

9420894795312 has 1920 divisors, whose sum is σ = 37865632000000. Its totient is φ = 2254229429760.

The previous prime is 9420894795283. The next prime is 9420894795331. The reversal of 9420894795312 is 2135974980249.

9420894795312 is a `hidden beast` number, since 9 + 4 + 2 + 0 + 8 + 94 + 7 + 9 + 531 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 9420894795312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18879548439 + ... + 18879548937.

Almost surely, 29420894795312 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 9420894795312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18932816000000).

9420894795312 is an abundant number, since it is smaller than the sum of its proper divisors (28444737204688).

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

9420894795312 is a wasteful number, since it uses less digits than its factorization.

9420894795312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 9420894795312 in words is "nine trillion, four hundred twenty billion, eight hundred ninety-four million, seven hundred ninety-five thousand, three hundred twelve".