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104481777204 = 2234786353381
BaseRepresentation
bin110000101001110011…
…0010110011000110100
3100222200111220012210000
41201103212112120310
53202434313332304
6115555343031300
710356104311230
oct1412346263064
9328614805700
10104481777204
114034626a702
12182ba89b530
139b111a5a0c
1450b23855c0
152ab7928939
hex1853996634

104481777204 has 120 divisors (see below), whose sum is σ = 312522997248. Its totient is φ = 29816786880.

The previous prime is 104481777199. The next prime is 104481777209. The reversal of 104481777204 is 402777184401.

104481777204 is a `hidden beast` number, since 10 + 448 + 177 + 7 + 20 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (104481777199) and next prime (104481777209).

It is a self number, because there is not a number n which added to its sum of digits gives 104481777204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104481777209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1930594 + ... + 1983974.

Almost surely, 2104481777204 is an apocalyptic number.

104481777204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104481777204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156261498624).

104481777204 is an abundant number, since it is smaller than the sum of its proper divisors (208041220044).

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

104481777204 is a wasteful number, since it uses less digits than its factorization.

104481777204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54267 (or 54256 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The spelling of 104481777204 in words is "one hundred four billion, four hundred eighty-one million, seven hundred seventy-seven thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 863 1134 1726 2268 2589 3452 5178 6041 7767 10356 12082 15534 18123 23301 24164 31068 36246 46602 53381 54369 69903 72492 93204 106762 108738 139806 160143 163107 213524 217476 279612 320286 326214 373667 480429 489321 640572 652428 747334 960858 978642 1121001 1441287 1494668 1921716 1957284 2242002 2882574 3363003 4323861 4484004 5765148 6726006 8647722 10089009 13452012 17295444 20178018 30267027 40356036 46067803 60534054 92135606 121068108 138203409 184271212 276406818 322474621 414610227 552813636 644949242 829220454 967423863 1243830681 1289898484 1658440908 1934847726 2487661362 2902271589 3731492043 3869695452 4975322724 5804543178 7462984086 8706814767 11609086356 14925968172 17413629534 26120444301 34827259068 52240888602 104481777204