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86349702033 = 32722353160627
BaseRepresentation
bin101000001101011010…
…1111110001110010001
322020212212012100200100
41100122311332032101
52403321010431113
6103400221443013
76144553233300
oct1203265761621
9266785170610
1086349702033
1133691179211
121489a410469
1381b17b125a
1442721b8437
1523a5b81d73
hex141ad7e391

86349702033 has 72 divisors (see below), whose sum is σ = 154256851008. Its totient is φ = 46306548288.

The previous prime is 86349702007. The next prime is 86349702143. The reversal of 86349702033 is 33020794368.

86349702033 is a `hidden beast` number, since 8 + 634 + 9 + 7 + 0 + 2 + 0 + 3 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-86349702033 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 86349702033.

It is not an unprimeable number, because it can be changed into a prime (86349704033) 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 71 ways as a sum of consecutive naturals, for example, 457266 + ... + 617892.

It is an arithmetic number, because the mean of its divisors is an integer number (2142456264).

Almost surely, 286349702033 is an apocalyptic number.

It is an amenable number.

86349702033 is a deficient number, since it is larger than the sum of its proper divisors (67907148975).

86349702033 is a wasteful number, since it uses less digits than its factorization.

86349702033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160723 (or 160713 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 86349702033 in words is "eighty-six billion, three hundred forty-nine million, seven hundred two thousand, thirty-three".

Divisors: 1 3 7 9 21 23 49 53 63 69 147 159 161 207 371 441 477 483 1113 1127 1219 1449 2597 3339 3381 3657 7791 8533 10143 10971 23373 25599 59731 76797 160627 179193 481881 537579 1124389 1445643 3373167 3694421 7870723 8513231 10119501 11083263 23612169 25539693 25860947 33249789 59592617 70836507 76619079 77582841 178777851 181026629 195804313 232748523 417148319 536333553 543079887 587412939 1251444957 1370630191 1629239661 1762238817 3754334871 4111890573 9594411337 12335671719 28783234011 86349702033