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86629337091 = 32112359644837
BaseRepresentation
bin101000010101110000…
…0101100100000000011
322021121100101021212100
41100223200230200003
52404404102241331
6103444051201443
76154520133663
oct1205340544003
9267540337770
1086629337091
1133815003170
1214957ba6283
1382276cb79b
14429b3aa1a3
1523c04bbae6
hex142b82c803

86629337091 has 48 divisors (see below), whose sum is σ = 144856408320. Its totient is φ = 49368644160.

The previous prime is 86629337077. The next prime is 86629337107. The reversal of 86629337091 is 19073392668.

86629337091 is a `hidden beast` number, since 8 + 6 + 629 + 3 + 3 + 7 + 0 + 9 + 1 = 666.

It is not a de Polignac number, because 86629337091 - 29 = 86629336579 is a prime.

It is a super-2 number, since 2×866293370912 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (86629337071) 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 47 ways as a sum of consecutive naturals, for example, 188076 + ... + 456761.

It is an arithmetic number, because the mean of its divisors is an integer number (3017841840).

Almost surely, 286629337091 is an apocalyptic number.

86629337091 is a deficient number, since it is larger than the sum of its proper divisors (58227071229).

86629337091 is a wasteful number, since it uses less digits than its factorization.

86629337091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644936 (or 644933 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 86629337091 in words is "eighty-six billion, six hundred twenty-nine million, three hundred thirty-seven thousand, ninety-one".

Divisors: 1 3 9 11 23 33 59 69 99 177 207 253 531 649 759 1357 1947 2277 4071 5841 12213 14927 44781 134343 644837 1934511 5803533 7093207 14831251 21279621 38045383 44493753 63838863 114136149 133481259 163143761 342408447 418499213 489431283 875043809 1255497639 1468293849 2625131427 3766492917 7875394281 9625481899 28876445697 86629337091