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86983038968 = 2371553268553
BaseRepresentation
bin101000100000010010…
…1111101011111111000
322022111222221012121212
41101000211331133320
52411120124221333
6103543124222252
76166343426540
oct1210045753770
9268458835555
1086983038968
1133986726671
1214a3653a988
138282a7c937
1442d235c320
1523e1587448
hex144097d7f8

86983038968 has 16 divisors (see below), whose sum is σ = 186392226480. Its totient is φ = 37278445248.

The previous prime is 86983038949. The next prime is 86983039019.

86983038968 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86983038898 and 86983038907.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 776634221 + ... + 776634332.

It is an arithmetic number, because the mean of its divisors is an integer number (11649514155).

Almost surely, 286983038968 is an apocalyptic number.

It is an amenable number.

86983038968 is an abundant number, since it is smaller than the sum of its proper divisors (99409187512).

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

86983038968 is a wasteful number, since it uses less digits than its factorization.

86983038968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553268566 (or 1553268562 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 68.

The spelling of 86983038968 in words is "eighty-six billion, nine hundred eighty-three million, thirty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 1553268553 3106537106 6213074212 10872879871 12426148424 21745759742 43491519484 86983038968