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63642131 = 721298819
BaseRepresentation
bin1111001011000…
…1101000010011
311102202100120222
43302301220103
5112243022011
610152023255
71401643400
oct362615023
9142670528
1063642131
1132a19303
1219391b2b
1310253987
1486492a7
1558c1ddb
hex3cb1a13

63642131 has 6 divisors (see below), whose sum is σ = 74032740. Its totient is φ = 54550356.

The previous prime is 63642119. The next prime is 63642133. The reversal of 63642131 is 13124636.

63642131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 63642131 - 210 = 63641107 is a prime.

It is a super-2 number, since 2×636421312 = 8100641676442322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 63642131.

It is not an unprimeable number, because it can be changed into a prime (63642133) 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 5 ways as a sum of consecutive naturals, for example, 649361 + ... + 649458.

It is an arithmetic number, because the mean of its divisors is an integer number (12338790).

Almost surely, 263642131 is an apocalyptic number.

63642131 is a deficient number, since it is larger than the sum of its proper divisors (10390609).

63642131 is a wasteful number, since it uses less digits than its factorization.

63642131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298833 (or 1298826 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The square root of 63642131 is about 7977.6018326312. The cubic root of 63642131 is about 399.2530455994.

Adding to 63642131 its reverse (13124636), we get a palindrome (76766767).

The spelling of 63642131 in words is "sixty-three million, six hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 7 49 1298819 9091733 63642131