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84064623721 = 132223032
BaseRepresentation
bin100111001001010100…
…1000101110001101001
322000222121102100112021
41032102221011301221
52334131020424341
6102341352344441
76034125340351
oct1162251056151
9260877370467
1084064623721
113271931a041
12143610a5121
137c09261c00
1440d6911b61
1522c025b9d1
hex1392a45c69

84064623721 has 9 divisors (see below), whose sum is σ = 91032638679. Its totient is φ = 77594634936.

The previous prime is 84064623703. The next prime is 84064623733. The reversal of 84064623721 is 12732646048.

The square root of 84064623721 is 289939.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 12435595225 + 71629028496 = 111515^2 + 267636^2 .

It is not a de Polignac number, because 84064623721 - 25 = 84064623689 is a prime.

It is a super-2 number, since 2×840646237212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84064623521) 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 8 ways as a sum of consecutive naturals, for example, 3758056 + ... + 3780358.

It is an arithmetic number, because the mean of its divisors is an integer number (10114737631).

Almost surely, 284064623721 is an apocalyptic number.

84064623721 is the 289939-th square number.

84064623721 is the 144970-th centered octagonal number.

It is an amenable number.

84064623721 is a deficient number, since it is larger than the sum of its proper divisors (6968014958).

84064623721 is an frugal number, since it uses more digits than its factorization.

84064623721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44632 (or 22316 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The spelling of 84064623721 in words is "eighty-four billion, sixty-four million, six hundred twenty-three thousand, seven hundred twenty-one".

Divisors: 1 13 169 22303 289939 3769207 497423809 6466509517 84064623721