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8144805375 = 325373727953
BaseRepresentation
bin1111001010111011…
…11101110111111111
3210000121212222112100
413211131331313333
5113140032233000
63424111240143
7405556463160
oct74535756777
923017788470
108144805375
1134aa591913
1216b3819053
139ca543785
145739dd767
1532a0a0a00
hex1e577ddff

8144805375 has 96 divisors (see below), whose sum is σ = 17233976448. Its totient is φ = 3622579200.

The previous prime is 8144805341. The next prime is 8144805401. The reversal of 8144805375 is 5735084418.

It is not a de Polignac number, because 8144805375 - 211 = 8144803327 is a prime.

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 8144805375.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277399 + ... + 305351.

It is an arithmetic number, because the mean of its divisors is an integer number (179520588).

Almost surely, 28144805375 is an apocalyptic number.

8144805375 is an abundant number, since it is smaller than the sum of its proper divisors (9089171073).

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

8144805375 is a wasteful number, since it uses less digits than its factorization.

8144805375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28018 (or 28005 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 8144805375 is about 90248.5754735220. The cubic root of 8144805375 is about 2011.9950303852.

The spelling of 8144805375 in words is "eight billion, one hundred forty-four million, eight hundred five thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 37 45 63 75 105 111 125 175 185 225 259 315 333 375 525 555 777 875 925 1125 1295 1575 1665 2331 2625 2775 3885 4625 6475 7875 8325 11655 13875 19425 27953 32375 41625 58275 83859 97125 139765 195671 251577 291375 419295 587013 698825 978355 1034261 1257885 1761039 2096475 2935065 3102783 3494125 4891775 5171305 6289425 7239827 8805195 9308349 10482375 14675325 15513915 21719481 24458875 25856525 31447125 36199135 44025975 46541745 65158443 73376625 77569575 108597405 129282625 180995675 220129875 232708725 325792215 387847875 542987025 904978375 1163543625 1628961075 2714935125 8144805375