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196853665680 = 24325739058267
BaseRepresentation
bin1011011101010101100…
…1001000111110010000
3200211010001220100012200
42313111121020332100
511211124014300210
6230233333123200
720136134356440
oct2672531107620
9624101810180
10196853665680
1176537842701
1232199a89500
13157425203a9
1497562a6120
1551c21270c0
hex2dd5648f90

196853665680 has 120 divisors (see below), whose sum is σ = 755543136192. Its totient is φ = 44995122432.

The previous prime is 196853665649. The next prime is 196853665717. The reversal of 196853665680 is 86566358691.

196853665680 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 5 + 3 + 66 + 568 + 0 = 666.

196853665680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 23 ways as a sum of consecutive naturals, for example, 19524094 + ... + 19534173.

Almost surely, 2196853665680 is an apocalyptic number.

196853665680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

196853665680 is an abundant number, since it is smaller than the sum of its proper divisors (558689470512).

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

196853665680 is a wasteful number, since it uses less digits than its factorization.

196853665680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39058293 (or 39058284 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 196853665680 in words is "one hundred ninety-six billion, eight hundred fifty-three million, six hundred sixty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 39058267 78116534 117174801 156233068 195291335 234349602 273407869 312466136 351524403 390582670 468699204 546815738 585874005 624932272 703048806 781165340 820223607 937398408 1093631476 1171748010 1367039345 1406097612 1562330680 1640447214 1757622015 1874796816 2187262952 2343496020 2460670821 2734078690 2812195224 3124661360 3280894428 3515244030 4101118035 4374525904 4686992040 4921341642 5468157380 5624390448 6561788856 7030488060 8202236070 9373984080 9842683284 10936314760 12303354105 13123577712 14060976120 16404472140 19685366568 21872629520 24606708210 28121952240 32808944280 39370733136 49213416420 65617888560 98426832840 196853665680