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8195018013 = 3271323439991
BaseRepresentation
bin1111010000111011…
…00000110100011101
3210011010101001022200
413220131200310131
5113240411034023
63433103402113
7410036334540
oct75035406435
923133331280
108195018013
113525968366
1217085b3339
13a07a748b0
1457a550857
1532e6bd743
hex1e8760d1d

8195018013 has 96 divisors (see below), whose sum is σ = 15252357120. Its totient is φ = 4121124480.

The previous prime is 8195018009. The next prime is 8195018017. The reversal of 8195018013 is 3108105918.

It is an interprime number because it is at equal distance from previous prime (8195018009) and next prime (8195018017).

It is not a de Polignac number, because 8195018013 - 22 = 8195018009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8195018017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8268948 + ... + 8269938.

It is an arithmetic number, because the mean of its divisors is an integer number (158878720).

Almost surely, 28195018013 is an apocalyptic number.

It is an amenable number.

8195018013 is a deficient number, since it is larger than the sum of its proper divisors (7057339107).

8195018013 is a wasteful number, since it uses less digits than its factorization.

8195018013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 8195018013 is about 90526.3387804897. The cubic root of 8195018013 is about 2016.1212053037.

The spelling of 8195018013 in words is "eight billion, one hundred ninety-five million, eighteen thousand, thirteen".

Divisors: 1 3 7 9 13 21 23 39 63 69 91 117 161 207 273 299 439 483 819 897 991 1317 1449 2093 2691 2973 3073 3951 5707 6279 6937 8919 9219 10097 12883 17121 18837 20811 22793 27657 30291 38649 39949 51363 62433 68379 70679 90181 90873 115947 119847 131261 159551 205137 212037 270543 296309 359541 393783 435049 478653 636111 811629 888927 918827 1181349 1305147 1435959 2074163 2666781 2756481 3045343 3915441 5655637 6222489 8269443 9136029 10006127 16966911 18667467 27408087 30018381 39589459 50900733 70042889 90055143 118768377 130079651 210128667 356305131 390238953 630386001 910557557 1170716859 2731672671 8195018013