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164098209375 = 3255311071759
BaseRepresentation
bin1001100011010100000…
…0111111011001011111
3120200120021201202101100
42120311000333121133
510142033120200000
6203215150044143
714566335523332
oct2306500773137
9520507652340
10164098209375
1163659185561
12279781a9653
1312622325a99
147d29d10619
154406661a00
hex263503f65f

164098209375 has 144 divisors (see below), whose sum is σ = 308860231680. Its totient is φ = 83856600000.

The previous prime is 164098209371. The next prime is 164098209389. The reversal of 164098209375 is 573902890461.

164098209375 is a `hidden beast` number, since 1 + 6 + 409 + 82 + 0 + 93 + 75 = 666.

It is not a de Polignac number, because 164098209375 - 22 = 164098209371 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164098209371) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93289746 + ... + 93291504.

It is an arithmetic number, because the mean of its divisors is an integer number (2144862720).

It is a 2-persistent number, because it is pandigital, and so is 2⋅164098209375 = 328196418750, but 3⋅164098209375 = 492294628125 is not.

Almost surely, 2164098209375 is an apocalyptic number.

164098209375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

164098209375 is a deficient number, since it is larger than the sum of its proper divisors (144762022305).

164098209375 is a wasteful number, since it uses less digits than its factorization.

164098209375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 164098209375 in words is "one hundred sixty-four billion, ninety-eight million, two hundred nine thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 107 125 155 225 279 321 375 465 535 625 775 963 1125 1395 1605 1759 1875 2325 2675 3125 3317 3875 4815 5277 5625 6975 8025 8795 9375 9951 11625 13375 15831 16585 19375 24075 26385 28125 29853 34875 40125 43975 49755 54529 58125 66875 79155 82925 96875 120375 131925 149265 163587 174375 188213 200625 219875 248775 272645 290625 334375 395775 414625 490761 564639 601875 659625 746325 817935 871875 941065 1003125 1099375 1243875 1363225 1693917 1978875 2073125 2453805 2823195 3009375 3298125 3731625 4089675 4705325 5496875 5834603 6219375 6816125 8469585 9894375 10365625 12269025 14115975 16490625 17503809 18658125 20448375 23526625 29173015 31096875 34080625 42347925 49471875 52511427 61345125 70579875 87519045 93290625 102241875 117633125 145865075 170403125 211739625 262557135 306725625 352899375 437595225 511209375 588165625 729325375 1058698125 1312785675 1533628125 1764496875 2187976125 3646626875 5293490625 6563928375 10939880625 18233134375 32819641875 54699403125 164098209375