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6381003629 = 7111339716057
BaseRepresentation
bin1011111000101011…
…00110001101101101
3121110200222120101202
411330111212031231
5101032014104004
62533103015245
7314061431060
oct57425461555
917420876352
106381003629
112784a01520
1212a0b9a525
137a8cb89c0
1444766a8d7
152752e7b1e
hex17c56636d

6381003629 has 32 divisors (see below), whose sum is σ = 8589616896. Its totient is φ = 4577886720.

The previous prime is 6381003611. The next prime is 6381003631. The reversal of 6381003629 is 9263001836.

It is a de Polignac number, because none of the positive numbers 2k-6381003629 is a prime.

It is a super-2 number, since 2×63810036292 = 81434414626622339282, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6381003592 and 6381003601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6381003649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389369 + ... + 405425.

It is an arithmetic number, because the mean of its divisors is an integer number (268425528).

Almost surely, 26381003629 is an apocalyptic number.

It is an amenable number.

6381003629 is a deficient number, since it is larger than the sum of its proper divisors (2208613267).

6381003629 is a wasteful number, since it uses less digits than its factorization.

6381003629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16485.

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 6381003629 is about 79881.1844491555. The cubic root of 6381003629 is about 1854.7967683231.

The spelling of 6381003629 in words is "six billion, three hundred eighty-one million, three thousand, six hundred twenty-nine".

Divisors: 1 7 11 13 77 91 143 397 1001 2779 4367 5161 16057 30569 36127 56771 112399 176627 208741 397397 1236389 1461187 2296151 6374629 16073057 44622403 70120919 82870177 490846433 580091239 911571947 6381003629