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2552088446568 = 2332157225768617
BaseRepresentation
bin100101001000110100010…
…100110100011001101000
3100000222101102122210221100
4211020310110310121220
5313303134120242233
65232225132241400
7352245062604603
oct45106424643150
910028342583840
102552088446568
118a4375439131
12352741310260
1315687902605b
148b74392333a
15465bb9d9813
hex25234534668

2552088446568 has 48 divisors (see below), whose sum is σ = 6955931120580. Its totient is φ = 845277698304.

The previous prime is 2552088446563. The next prime is 2552088446569. The reversal of 2552088446568 is 8656448802552.

It is a happy number.

2552088446568 is a `hidden beast` number, since 2 + 5 + 5 + 20 + 8 + 8 + 4 + 46 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2518054838244 + 34033608324 = 1586838^2 + 184482^2 .

It is not an unprimeable number, because it can be changed into a prime (2552088446563) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 112873005 + ... + 112895612.

Almost surely, 22552088446568 is an apocalyptic number.

It is an amenable number.

2552088446568 is an abundant number, since it is smaller than the sum of its proper divisors (4403842674012).

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

2552088446568 is a wasteful number, since it uses less digits than its factorization.

2552088446568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225768786 (or 225768779 counting only the distinct ones).

The product of its (nonzero) digits is 147456000, while the sum is 63.

The spelling of 2552088446568 in words is "two trillion, five hundred fifty-two billion, eighty-eight million, four hundred forty-six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 942 1256 1413 1884 2826 3768 5652 11304 225768617 451537234 677305851 903074468 1354611702 1806148936 2031917553 2709223404 4063835106 5418446808 8127670212 16255340424 35445672869 70891345738 106337018607 141782691476 212674037214 283565382952 319011055821 425348074428 638022111642 850696148856 1276044223284 2552088446568