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133957769 = 1126118149
BaseRepresentation
bin1111111110000…
…00100010001001
3100100001202111212
413333000202021
5233243122034
621143102505
73214423301
oct777004211
9310052455
10133957769
1169685500
1238a41a35
13219a306a
1413b10601
15bb612ce
hex7fc0889

133957769 has 12 divisors (see below), whose sum is σ = 149664900. Its totient is φ = 119776800.

The previous prime is 133957741. The next prime is 133957787. The reversal of 133957769 is 967759331.

It can be written as a sum of positive squares in 2 ways, for example, as 17749369 + 116208400 = 4213^2 + 10780^2 .

It is a de Polignac number, because none of the positive numbers 2k-133957769 is a prime.

It is a super-2 number, since 2×1339577692 = 35889367750914722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133957709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1694 + ... + 16455.

It is an arithmetic number, because the mean of its divisors is an integer number (12472075).

Almost surely, 2133957769 is an apocalyptic number.

It is an amenable number.

133957769 is a deficient number, since it is larger than the sum of its proper divisors (15707131).

133957769 is a wasteful number, since it uses less digits than its factorization.

133957769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18232 (or 18221 counting only the distinct ones).

The product of its digits is 1071630, while the sum is 50.

The square root of 133957769 is about 11574.0126576741. The cubic root of 133957769 is about 511.6692313966.

The spelling of 133957769 in words is "one hundred thirty-three million, nine hundred fifty-seven thousand, seven hundred sixty-nine".

Divisors: 1 11 61 121 671 7381 18149 199639 1107089 2196029 12177979 133957769