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104855590644 = 223743127228581
BaseRepresentation
bin110000110100111100…
…0010101011011110100
3101000122120021220102020
41201221320111123310
53204221012400034
6120100415113140
710401263546310
oct1415170253364
9330576256366
10104855590644
114051827a232
12183a3b127b0
139b70778cbc
145109c90b40
152ada668249
hex1869e156f4

104855590644 has 96 divisors (see below), whose sum is σ = 288371736576. Its totient is φ = 29031488640.

The previous prime is 104855590639. The next prime is 104855590709. The reversal of 104855590644 is 446095558401.

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, 344434 + ... + 573014.

It is an arithmetic number, because the mean of its divisors is an integer number (3003872256).

Almost surely, 2104855590644 is an apocalyptic number.

104855590644 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 104855590644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144185868288).

104855590644 is an abundant number, since it is smaller than the sum of its proper divisors (183516145932).

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

104855590644 is a wasteful number, since it uses less digits than its factorization.

104855590644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228765 (or 228763 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 104855590644 in words is "one hundred four billion, eight hundred fifty-five million, five hundred ninety thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 84 86 127 129 172 254 258 301 381 508 516 602 762 889 903 1204 1524 1778 1806 2667 3556 3612 5334 5461 10668 10922 16383 21844 32766 38227 65532 76454 114681 152908 228581 229362 457162 458724 685743 914324 1371486 1600067 2742972 3200134 4800201 6400268 9600402 9828983 19200804 19657966 29029787 29486949 39315932 58059574 58973898 68802881 87089361 116119148 117947796 137605762 174178722 203208509 206408643 275211524 348357444 406417018 412817286 609625527 812834036 825634572 1219251054 1248280841 2438502108 2496561682 3744842523 4993123364 7489685046 8737965887 14979370092 17475931774 26213897661 34951863548 52427795322 104855590644