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20168193375 = 3353111673253
BaseRepresentation
bin10010110010000111…
…100011010101011111
31221001120000101012000
4102302013203111133
5312301024142000
613133134213343
71312533546411
oct226207432537
957046011160
1020168193375
11860a468210
123aaa354253
131b954a6845
14d947889b1
157d08e1000
hex4b21e355f

20168193375 has 128 divisors (see below), whose sum is σ = 40934799360. Its totient is φ = 9716976000.

The previous prime is 20168193371. The next prime is 20168193391. The reversal of 20168193375 is 57339186102.

20168193375 is a `hidden beast` number, since 201 + 68 + 19 + 3 + 375 = 666.

It is not a de Polignac number, because 20168193375 - 22 = 20168193371 is a prime.

It is a super-2 number, since 2×201681933752 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 20168193375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20168193371) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 6198249 + ... + 6201501.

It is an arithmetic number, because the mean of its divisors is an integer number (319803120).

Almost surely, 220168193375 is an apocalyptic number.

20168193375 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20168193375 is an abundant number, since it is smaller than the sum of its proper divisors (20766605985).

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

20168193375 is a wasteful number, since it uses less digits than its factorization.

20168193375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3455 (or 3439 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 20168193375 in words is "twenty billion, one hundred sixty-eight million, one hundred ninety-three thousand, three hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 125 135 165 167 225 275 297 375 495 501 675 825 835 1125 1375 1485 1503 1837 2475 2505 3253 3375 4125 4175 4509 5511 7425 7515 9185 9759 12375 12525 16265 16533 20875 22545 27555 29277 35783 37125 37575 45925 48795 49599 62625 81325 82665 87831 107349 112725 137775 146385 178915 187875 229625 243975 247995 322047 406625 413325 439155 536745 543251 563625 688875 731925 894575 966141 1219875 1239975 1610235 1629753 2066625 2195775 2683725 2716255 3659625 4472875 4830705 4889259 5975761 6199875 8051175 8148765 10978875 13418625 13581275 14667777 17927283 24153525 24446295 29878805 40255875 40743825 53781849 67906375 73338885 89636415 120767625 122231475 149394025 161345547 203719125 268909245 366694425 448182075 611157375 746970125 806727735 1344546225 1833472125 2240910375 4033638675 6722731125 20168193375