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18705503900196 = 223424129972
BaseRepresentation
bin1000100000011001101101…
…11010100101001000100100
32110020020011201200011010000
410100030312322211020210
54422432332444301241
6103441105002101300
73640266552514401
oct420146672451044
973206151604100
1018705503900196
115a61a613335a3
1221213034aa830
13a58bc9567599
144894cba632a8
1522688e250eb6
hex110336ea5224

18705503900196 has 135 divisors (see below), whose sum is σ = 49152928892067. Its totient is φ = 6203067920640.

The previous prime is 18705503900183. The next prime is 18705503900197. The reversal of 18705503900196 is 69100930550781.

The square root of 18705503900196 is 4324986.

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

18705503900196 is a `hidden beast` number, since 1 + 8 + 70 + 550 + 3 + 9 + 0 + 0 + 19 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7162742268900 + 11542761631296 = 2676330^2 + 3397464^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (18705503900197) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 18761788770 + ... + 18761789766.

Almost surely, 218705503900196 is an apocalyptic number.

18705503900196 is the 4324986-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18705503900196

18705503900196 is an abundant number, since it is smaller than the sum of its proper divisors (30447424991871).

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

18705503900196 is an frugal number, since it uses more digits than its factorization.

18705503900196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 18705503900196 in words is "eighteen trillion, seven hundred five billion, five hundred three million, nine hundred thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 241 324 482 723 964 997 1446 1994 2169 2892 2991 3988 4338 5982 6507 8676 8973 11964 13014 17946 19521 26028 26919 35892 39042 53838 58081 78084 80757 107676 116162 161514 174243 232324 240277 323028 348486 480554 522729 696972 720831 961108 994009 1045458 1441662 1568187 1988018 2090916 2162493 2883324 2982027 3136374 3976036 4324986 4704561 5964054 6272748 6487479 8649972 8946081 9409122 11928108 12974958 17892162 18818244 19462437 25949916 26838243 35784324 38924874 53676486 57906757 77849748 80514729 107352972 115813514 161029458 173720271 231627028 239556169 322058916 347440542 479112338 521160813 694881084 718668507 958224676 1042321626 1437337014 1563482439 2084643252 2156005521 2874674028 3126964878 4312011042 4690447317 6253929756 6468016563 8624022084 9380894634 12936033126 18761789268 19404049689 25872066252 38808099378 57733036729 77616198756 115466073458 173199110187 230932146916 346398220374 519597330561 692796440748 1039194661122 1558791991683 2078389322244 3117583983366 4676375975049 6235167966732 9352751950098 18705503900196