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209003189920 = 2557352952879
BaseRepresentation
bin1100001010100110001…
…1111001011010100000
3201222110210101010020221
43002221203321122200
511411014304034140
6240003103412424
721046202542060
oct3025143713240
9658423333227
10209003189920
1180701941028
123460a8b4114
131692a6483a5
14a189ac73a0
155683a8114a
hex30a98f96a0

209003189920 has 96 divisors (see below), whose sum is σ = 564479193600. Its totient is φ = 71636576256.

The previous prime is 209003189909. The next prime is 209003189933. The reversal of 209003189920 is 29981300902.

209003189920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3926041 + ... + 3978919.

It is an arithmetic number, because the mean of its divisors is an integer number (5879991600).

Almost surely, 2209003189920 is an apocalyptic number.

209003189920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

209003189920 is an abundant number, since it is smaller than the sum of its proper divisors (355476003680).

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

209003189920 is a wasteful number, since it uses less digits than its factorization.

209003189920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56430 (or 56422 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The spelling of 209003189920 in words is "two hundred nine billion, three million, one hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 3529 7058 14116 17645 24703 28232 35290 49406 52879 56464 70580 98812 105758 112928 123515 141160 197624 211516 247030 264395 282320 370153 395248 423032 494060 528790 564640 740306 790496 846064 988120 1057580 1480612 1692128 1850765 1976240 2115160 2961224 3701530 3952480 4230320 5922448 7403060 8460640 11844896 14806120 29612240 59224480 186609991 373219982 746439964 933049955 1306269937 1492879928 1866099910 2612539874 2985759856 3732199820 5225079748 5971519712 6531349685 7464399640 10450159496 13062699370 14928799280 20900318992 26125398740 29857598560 41800637984 52250797480 104501594960 209003189920