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63132069 = 37111321023
BaseRepresentation
bin1111000011010…
…1000110100101
311101210102220210
43300311012211
5112130211234
610133050033
71364420340
oct360650645
9141712823
1063132069
1132700070
1219186919
1310105770
148555457
155820be9
hex3c351a5

63132069 has 32 divisors (see below), whose sum is σ = 113025024. Its totient is φ = 30271680.

The previous prime is 63132059. The next prime is 63132071. The reversal of 63132069 is 96023136.

It is a happy number.

63132069 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-63132069 is a prime.

It is a super-3 number, since 3×631320693 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63132059) 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 31 ways as a sum of consecutive naturals, for example, 7509 + ... + 13514.

It is an arithmetic number, because the mean of its divisors is an integer number (3532032).

Almost surely, 263132069 is an apocalyptic number.

It is an amenable number.

63132069 is a deficient number, since it is larger than the sum of its proper divisors (49892955).

63132069 is a wasteful number, since it uses less digits than its factorization.

63132069 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21057.

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 63132069 is about 7945.5691426102. The cubic root of 63132069 is about 398.1835743974.

The spelling of 63132069 in words is "sixty-three million, one hundred thirty-two thousand, sixty-nine".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 3003 21023 63069 147161 231253 273299 441483 693759 819897 1618771 1913093 3006289 4856313 5739279 9018867 21044023 63132069