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88253338509 = 3779
BaseRepresentation
bin101001000110001001…
…1110001001110001101
322102210112020010000000
41102030103301032031
52421220323313014
6104313143154513
76243000000000
oct1221423611615
9272715203000
1088253338509
11344787884a6
121512ba45a39
138425cb907b
1443b2d4b537
152467d5c509
hex148c4f138d

88253338509 has 80 divisors (see below), whose sum is σ = 154419802240. Its totient is φ = 50430479148.

The previous prime is 88253338483. The next prime is 88253338553. The reversal of 88253338509 is 90583335288.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

88253338509 is a `hidden beast` number, since 8 + 8 + 253 + 3 + 385 + 0 + 9 = 666.

It is an ABA number since it can be written as A⋅BA, here for A=3, B=3087.

It is not a de Polignac number, because 88253338509 - 28 = 88253338253 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88253338109) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 12607619784 + ... + 12607619790.

It is an arithmetic number, because the mean of its divisors is an integer number (1930247528).

Almost surely, 288253338509 is an apocalyptic number.

It is an amenable number.

88253338509 is a deficient number, since it is larger than the sum of its proper divisors (66166463731).

88253338509 is an frugal number, since it uses more digits than its factorization.

88253338509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 88253338509 in words is "eighty-eight billion, two hundred fifty-three million, three hundred thirty-eight thousand, five hundred nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 343 441 567 729 1029 1323 1701 2187 2401 3087 3969 5103 7203 9261 11907 15309 16807 21609 27783 35721 50421 64827 83349 107163 117649 151263 194481 250047 352947 453789 583443 750141 823543 1058841 1361367 1750329 2470629 3176523 4084101 5250987 5764801 7411887 9529569 12252303 17294403 22235661 28588707 36756909 40353607 51883209 66706983 85766121 121060821 155649627 200120949 257298363 363182463 466948881 600362847 1089547389 1400846643 1801088541 3268642167 4202539929 9805926501 12607619787 29417779503 88253338509