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101679481686 = 23113359419997
BaseRepresentation
bin101111010110010010…
…0011100001101010110
3100201110012212212000010
41132230210130031112
53131214421403221
6114413320101050
710226466222366
oct1365444341526
9321405785003
10101679481686
113a1384645a2
1217858304786
1397857539a3
144cc81249a6
1529a18d8c76
hex17ac91c356

101679481686 has 64 divisors (see below), whose sum is σ = 206427916800. Its totient is φ = 33386174976.

The previous prime is 101679481679. The next prime is 101679481691. The reversal of 101679481686 is 686184976101.

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 31 ways as a sum of consecutive naturals, for example, 101984940 + ... + 101985936.

It is an arithmetic number, because the mean of its divisors is an integer number (3225436200).

Almost surely, 2101679481686 is an apocalyptic number.

101679481686 is an abundant number, since it is smaller than the sum of its proper divisors (104748435114).

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

101679481686 is a wasteful number, since it uses less digits than its factorization.

101679481686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893.

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 101679481686 in words is "one hundred one billion, six hundred seventy-nine million, four hundred eighty-one thousand, six hundred eighty-six".

Divisors: 1 2 3 6 113 226 339 359 419 678 718 838 997 1077 1257 1994 2154 2514 2991 5982 40567 47347 81134 94694 112661 121701 142041 150421 225322 243402 284082 300842 337983 357923 417743 451263 675966 715846 835486 902526 1073769 1253229 2147538 2506458 16997573 33995146 40445299 47204959 50992719 80890598 94409918 101985438 121335897 141614877 149969737 242671794 283229754 299939474 449909211 899818422 16946580281 33893160562 50839740843 101679481686