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86994849968 = 24131632565917
BaseRepresentation
bin101000100000101001…
…1000001000010110000
322022112211011021021022
41101001103001002300
52411131140144333
6103544225315012
76166546011125
oct1210123010260
9268484137238
1086994849968
1133992363424
1214a3a495a68
1382853568b0
1442d3b5474c
1523e261bc98
hex14414c10b0

86994849968 has 40 divisors (see below), whose sum is σ = 182631779568. Its totient is φ = 39905125632.

The previous prime is 86994849923. The next prime is 86994849983.

86994849968 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86994849892 and 86994849901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1249055 + ... + 1316862.

Almost surely, 286994849968 is an apocalyptic number.

It is an amenable number.

86994849968 is an abundant number, since it is smaller than the sum of its proper divisors (95636929600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86994849968 is a wasteful number, since it uses less digits than its factorization.

86994849968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566101 (or 2566095 counting only the distinct ones).

The product of its digits is 1934917632, while the sum is 80.

The spelling of 86994849968 in words is "eighty-six billion, nine hundred ninety-four million, eight hundred forty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 163 208 326 652 1304 2119 2608 4238 8476 16952 33904 2565917 5131834 10263668 20527336 33356921 41054672 66713842 133427684 266855368 418244471 533710736 836488942 1672977884 3345955768 5437178123 6691911536 10874356246 21748712492 43497424984 86994849968