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137663163 = 32114792903
BaseRepresentation
bin10000011010010…
…01001010111011
3100121001000100200
420031021022323
5240220210123
621354333243
73261055221
oct1015111273
9317030320
10137663163
1170786410
123a12a223
132269c7c1
14143d6b11
15c144143
hex83492bb

137663163 has 24 divisors (see below), whose sum is σ = 217451520. Its totient is φ = 83229360.

The previous prime is 137663159. The next prime is 137663191. The reversal of 137663163 is 361366731.

137663163 is a `hidden beast` number, since 13 + 7 + 6 + 631 + 6 + 3 = 666.

It is not a de Polignac number, because 137663163 - 22 = 137663159 is a prime.

It is a super-2 number, since 2×1376631632 = 37902292894329138, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137663063) 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 23 ways as a sum of consecutive naturals, for example, 45970 + ... + 48872.

It is an arithmetic number, because the mean of its divisors is an integer number (9060480).

Almost surely, 2137663163 is an apocalyptic number.

137663163 is a deficient number, since it is larger than the sum of its proper divisors (79788357).

137663163 is a wasteful number, since it uses less digits than its factorization.

137663163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3396 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 137663163 is about 11732.9946305280. The cubic root of 137663163 is about 516.3441345069.

The spelling of 137663163 in words is "one hundred thirty-seven million, six hundred sixty-three thousand, one hundred sixty-three".

Divisors: 1 3 9 11 33 99 479 1437 2903 4311 5269 8709 15807 26127 31933 47421 95799 287397 1390537 4171611 12514833 15295907 45887721 137663163