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126553664 = 267092789
BaseRepresentation
bin1111000101100…
…00111001000000
322211010120222202
413202300321000
5224344204124
620320252332
73064455056
oct742607100
9284116882
10126553664
1165488706
12364710a8
13202acc33
1412b441d6
15b19c5ae
hex78b0e40

126553664 has 28 divisors (see below), whose sum is σ = 251574300. Its totient is φ = 63164928.

The previous prime is 126553663. The next prime is 126553681. The reversal of 126553664 is 466355621.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 45697600 + 80856064 = 6760^2 + 8992^2 .

It is not an unprimeable number, because it can be changed into a prime (126553663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43982 + ... + 46770.

Almost surely, 2126553664 is an apocalyptic number.

It is an amenable number.

126553664 is a deficient number, since it is larger than the sum of its proper divisors (125020636).

126553664 is an equidigital number, since it uses as much as digits as its factorization.

126553664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3500 counting only the distinct ones).

The product of its digits is 129600, while the sum is 38.

The square root of 126553664 is about 11249.6072820343. The cubic root of 126553664 is about 502.0630281227.

The spelling of 126553664 in words is "one hundred twenty-six million, five hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 709 1418 2789 2836 5578 5672 11156 11344 22312 22688 44624 45376 89248 178496 1977401 3954802 7909604 15819208 31638416 63276832 126553664