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22856488465040 = 245349818642137
BaseRepresentation
bin1010011001001101100001…
…11000000011001010010000
32222221001120222110102222022
411030212300320003022100
510443440042021340130
6120340043103231012
74546220043245306
oct514466070031220
988831528412868
1022856488465040
11731242296446a
1226918a78a8468
13c9a4858a6bc9
1459038d404276
1529983a46d7e5
hex14c9b0e03290

22856488465040 has 40 divisors (see below), whose sum is σ = 53293603183800. Its totient is φ = 9116398826496.

The previous prime is 22856488465001. The next prime is 22856488465061. The reversal of 22856488465040 is 4056488465822.

It can be written as a sum of positive squares in 4 ways, for example, as 900441575056 + 21956046889984 = 948916^2 + 4685728^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 409293149 + ... + 409348988.

It is an arithmetic number, because the mean of its divisors is an integer number (1332340079595).

Almost surely, 222856488465040 is an apocalyptic number.

22856488465040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22856488465040 is an abundant number, since it is smaller than the sum of its proper divisors (30437114718760).

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

22856488465040 is a wasteful number, since it uses less digits than its factorization.

22856488465040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818642499 (or 818642493 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 62.

The spelling of 22856488465040 in words is "twenty-two trillion, eight hundred fifty-six billion, four hundred eighty-eight million, four hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 349 698 1396 1745 2792 3490 5584 6980 13960 27920 818642137 1637284274 3274568548 4093210685 6549137096 8186421370 13098274192 16372842740 32745685480 65491370960 285706105813 571412211626 1142824423252 1428530529065 2285648846504 2857061058130 4571297693008 5714122116260 11428244232520 22856488465040