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172270264329 = 3228016833681
BaseRepresentation
bin1010000001110000011…
…0111010000000001001
3121110122210220011022100
42200130012322000021
510310302141424304
6211050113344013
715306006041412
oct2403406720011
9543583804270
10172270264329
1167072089389
1229478b68009
13133253ba667
1484a33a4809
154733ce6439
hex281c1ba009

172270264329 has 12 divisors (see below), whose sum is σ = 248923700532. Its totient is φ = 114805824000.

The previous prime is 172270264301. The next prime is 172270264343. The reversal of 172270264329 is 923462072271.

172270264329 is a `hidden beast` number, since 172 + 27 + 0 + 26 + 432 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47939978304 + 124330286025 = 218952^2 + 352605^2 .

It is a de Polignac number, because none of the positive numbers 2k-172270264329 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (172270264129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3391632 + ... + 3442049.

It is an arithmetic number, because the mean of its divisors is an integer number (20743641711).

Almost surely, 2172270264329 is an apocalyptic number.

It is an amenable number.

172270264329 is a deficient number, since it is larger than the sum of its proper divisors (76653436203).

172270264329 is a wasteful number, since it uses less digits than its factorization.

172270264329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6836488 (or 6836485 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 172270264329 in words is "one hundred seventy-two billion, two hundred seventy million, two hundred sixty-four thousand, three hundred twenty-nine".

Divisors: 1 3 9 2801 8403 25209 6833681 20501043 61503129 19141140481 57423421443 172270264329