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88054323201 = 32133720340569
BaseRepresentation
bin101001000000001110…
…0100101100000000001
322102021122202002022200
41102000130211200001
52420313401320301
6104241313423413
76235032253305
oct1220034454001
9272248662280
1088054323201
1134386408339
121509526ab69
1383c39b8030
144394743d05
152455649c86
hex1480725801

88054323201 has 24 divisors (see below), whose sum is σ = 140675382120. Its totient is φ = 52722752256.

The previous prime is 88054323193. The next prime is 88054323229. The reversal of 88054323201 is 10232345088.

88054323201 is a `hidden beast` number, since 8 + 80 + 54 + 323 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21927686400 + 66126636801 = 148080^2 + 257151^2 .

It is not a de Polignac number, because 88054323201 - 23 = 88054323193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (88054323601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10165956 + ... + 10174613.

It is an arithmetic number, because the mean of its divisors is an integer number (5861474255).

Almost surely, 288054323201 is an apocalyptic number.

It is an amenable number.

88054323201 is a deficient number, since it is larger than the sum of its proper divisors (52621058919).

88054323201 is a wasteful number, since it uses less digits than its factorization.

88054323201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20340625 (or 20340622 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 88054323201 its reverse (10232345088), we get a palindrome (98286668289).

The spelling of 88054323201 in words is "eighty-eight billion, fifty-four million, three hundred twenty-three thousand, two hundred one".

Divisors: 1 3 9 13 37 39 111 117 333 481 1443 4329 20340569 61021707 183065121 264427397 752601053 793282191 2257803159 2379846573 6773409477 9783813689 29351441067 88054323201