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4006693444 = 2213372418641
BaseRepresentation
bin1110111011010001…
…0100101001000100
3101100020022010010111
43232310110221010
531201203142234
61501325202404
7201201221665
oct35664245104
911306263114
104006693444
1117767460a6
12939a00404
134bb126230
142a01b736c
15186b48664
hexeed14a44

4006693444 has 48 divisors (see below), whose sum is σ = 7788239536. Its totient is φ = 1791590400.

The previous prime is 4006693441. The next prime is 4006693451. The reversal of 4006693444 is 4443966004.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 83174400 + 3923519044 = 9120^2 + 62638^2 .

It is a super-2 number, since 2×40066934442 = 32107184708385162272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4006693397 and 4006693406.

It is not an unprimeable number, because it can be changed into a prime (4006693441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459364 + ... + 468004.

Almost surely, 24006693444 is an apocalyptic number.

It is an amenable number.

4006693444 is a deficient number, since it is larger than the sum of its proper divisors (3781546092).

4006693444 is a wasteful number, since it uses less digits than its factorization.

4006693444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8936 (or 8934 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 40.

The square root of 4006693444 is about 63298.4474059198. The cubic root of 4006693444 is about 1588.2859902151.

The spelling of 4006693444 in words is "four billion, six million, six hundred ninety-three thousand, four hundred forty-four".

Divisors: 1 2 4 13 26 37 52 74 148 241 481 482 962 964 1924 3133 6266 8641 8917 12532 17282 17834 34564 35668 112333 115921 224666 231842 319717 449332 463684 639434 1278868 2082481 4156321 4164962 8312642 8329924 16625284 27072253 54144506 77051797 108289012 154103594 308207188 1001673361 2003346722 4006693444