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23007732489 = 32723122332
BaseRepresentation
bin10101011011010111…
…100010001100001001
32012101110002220120100
4111123113202030021
5334104434414424
614323011320013
71443103333200
oct253327421411
965343086510
1023007732489
1198372a0a55
1245612b0009
1322288688c1
141183942237
158e9d3adc9
hex55b5e2309

23007732489 has 81 divisors (see below), whose sum is σ = 40118732199. Its totient is φ = 12668564160.

The previous prime is 23007732443. The next prime is 23007732497. The reversal of 23007732489 is 98423770032.

The square root of 23007732489 is 151683.

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., 4672406025 + 18335326464 = 68355^2 + 135408^2 .

It is not a de Polignac number, because 23007732489 - 27 = 23007732361 is a prime.

It is a super-2 number, since 2×230077324892 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23007732409) 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 80 ways as a sum of consecutive naturals, for example, 98745517 + ... + 98745749.

Almost surely, 223007732489 is an apocalyptic number.

23007732489 is the 151683-rd square number.

23007732489 is the 75842-nd centered octagonal number.

It is an amenable number.

23007732489 is a deficient number, since it is larger than the sum of its proper divisors (17110999710).

23007732489 is an equidigital number, since it uses as much as digits as its factorization.

23007732489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 274 counting only the distinct ones).

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

The spelling of 23007732489 in words is "twenty-three billion, seven million, seven hundred thirty-two thousand, four hundred eighty-nine".

Divisors: 1 3 7 9 21 31 49 63 93 147 217 233 279 441 651 699 961 1519 1631 1953 2097 2883 4557 4893 6727 7223 8649 11417 13671 14679 20181 21669 34251 47089 50561 54289 60543 65007 102753 141267 151683 162867 223913 353927 380023 423801 455049 488601 671739 1061781 1140069 1567391 1682959 2015217 2660161 3185343 3420207 4702173 5048877 7980483 10971737 11780713 14106519 15146631 23941449 32915211 35342139 52171729 82464991 98745633 106026417 156515187 247394973 365202103 469545561 742184919 1095606309 2556414721 3286818927 7669244163 23007732489