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127133649 = 32101139861
BaseRepresentation
bin1111001001111…
…10011111010001
322212020001120200
413210332133101
5230021234044
620340525413
73102422016
oct744763721
9285201520
10127133649
1165844435
12366b0869
1320453c16
1412c5570d
15b264369
hex793e7d1

127133649 has 12 divisors (see below), whose sum is σ = 185457012. Its totient is φ = 83916000.

The previous prime is 127133647. The next prime is 127133653. The reversal of 127133649 is 946331721.

127133649 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 3 + 3 + 649 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 72846225 + 54287424 = 8535^2 + 7368^2 .

It is not a de Polignac number, because 127133649 - 21 = 127133647 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (127133647) 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, 69022 + ... + 70839.

It is an arithmetic number, because the mean of its divisors is an integer number (15454751).

Almost surely, 2127133649 is an apocalyptic number.

It is an amenable number.

127133649 is a deficient number, since it is larger than the sum of its proper divisors (58323363).

127133649 is a wasteful number, since it uses less digits than its factorization.

127133649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139968 (or 139965 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 127133649 is about 11275.3558258709. The cubic root of 127133649 is about 502.8288305856.

The spelling of 127133649 in words is "one hundred twenty-seven million, one hundred thirty-three thousand, six hundred forty-nine".

Divisors: 1 3 9 101 303 909 139861 419583 1258749 14125961 42377883 127133649