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104312204676 = 223659812
BaseRepresentation
bin110000100100101111…
…1011110110110000100
3100222020200211001000000
41201021133132312010
53202112411022201
6115530444321300
710351645052541
oct1411137366604
9328220731000
10104312204676
114026957a319
1218271b43230
139ab5013144
145097a43bc8
152aa7aced86
hex18497ded84

104312204676 has 63 divisors (see below), whose sum is σ = 273740102293. Its totient is φ = 34764921360.

The previous prime is 104312204657. The next prime is 104312204683. The reversal of 104312204676 is 676402213401.

The square root of 104312204676 is 322974.

It is a perfect power (a square), and thus also a powerful number.

104312204676 is a `hidden beast` number, since 10 + 431 + 2 + 204 + 6 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2806244676 + 101505960000 = 52974^2 + 318600^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 104312204676.

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 20 ways as a sum of consecutive naturals, for example, 17437606 + ... + 17443586.

Almost surely, 2104312204676 is an apocalyptic number.

104312204676 is the 322974-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104312204676

104312204676 is an abundant number, since it is smaller than the sum of its proper divisors (169427897617).

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

104312204676 is an frugal number, since it uses more digits than its factorization.

104312204676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11984 (or 5986 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Multiplying 104312204676 by its sum of digits (36), we get a square (3755239368336 = 19378442).

104312204676 divided by its sum of digits (36) gives a square (2897561241 = 538292).

The spelling of 104312204676 in words is "one hundred four billion, three hundred twelve million, two hundred four thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 5981 11962 17943 23924 35886 53829 71772 107658 161487 215316 322974 484461 645948 968922 1453383 1937844 2906766 4360149 5813532 8720298 17440596 35772361 71544722 107317083 143089444 214634166 321951249 429268332 643902498 965853747 1287804996 1931707494 2897561241 3863414988 5795122482 8692683723 11590244964 17385367446 26078051169 34770734892 52156102338 104312204676