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104764668678 = 23329101366041
BaseRepresentation
bin110000110010001110…
…1011111101100000110
3101000102020012120221000
41201210131133230012
53204024223344203
6120043410234130
710366110663555
oct1414435375406
9330366176830
10104764668678
1140480a1920a
1218379585946
139b57993517
1450dbb83d9c
152ad26a84a3
hex186475fb06

104764668678 has 64 divisors (see below), whose sum is σ = 241079716800. Its totient is φ = 33683569920.

The previous prime is 104764668637. The next prime is 104764668683. The reversal of 104764668678 is 876866467401.

104764668678 is a `hidden beast` number, since 1 + 0 + 476 + 46 + 68 + 67 + 8 = 666.

It is a super-3 number, since 3×1047646686783 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 1553338 + ... + 1619378.

It is an arithmetic number, because the mean of its divisors is an integer number (3766870575).

Almost surely, 2104764668678 is an apocalyptic number.

104764668678 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104764668678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120539858400).

104764668678 is an abundant number, since it is smaller than the sum of its proper divisors (136315048122).

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

104764668678 is a wasteful number, since it uses less digits than its factorization.

104764668678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67094 (or 67088 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 104764668678 in words is "one hundred four billion, seven hundred sixty-four million, six hundred sixty-eight thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1013 1566 2026 3039 6078 9117 18234 27351 29377 54702 58754 66041 88131 132082 176262 198123 264393 396246 528786 594369 793179 1188738 1586358 1783107 1915189 3566214 3830378 5745567 11491134 17236701 34473402 51710103 66899533 103420206 133799066 200698599 401397198 602095797 1204191594 1806287391 1940086457 3612574782 3880172914 5820259371 11640518742 17460778113 34921556226 52382334339 104764668678