Search a number
-
+
26416976089 = 743121072
BaseRepresentation
bin11000100110100100…
…110001000011011001
32112012001012102120211
4120212210301003121
5413100221213324
620045155251121
71623431410000
oct304644610331
975161172524
1026416976089
1110226770149
125152ba9aa1
13264cc79bca
1413c8637c37
15a492bc294
hex6269310d9

26416976089 has 45 divisors (see below), whose sum is σ = 32144558901. Its totient is φ = 21707907480.

The previous prime is 26416976077. The next prime is 26416976093. The reversal of 26416976089 is 98067961462.

It is a happy number.

The square root of 26416976089 is 162533.

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

It is not a de Polignac number, because 26416976089 - 25 = 26416976057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (26416976029) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 246887574 + ... + 246887680.

Almost surely, 226416976089 is an apocalyptic number.

26416976089 is the 162533-rd square number.

26416976089 is the 81267-th centered octagonal number.

It is an amenable number.

26416976089 is a deficient number, since it is larger than the sum of its proper divisors (5727582812).

26416976089 is an frugal number, since it uses more digits than its factorization.

26416976089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 26416976089 in words is "twenty-six billion, four hundred sixteen million, nine hundred seventy-six thousand, eighty-nine".

Divisors: 1 7 31 49 107 217 343 749 961 1519 2401 3317 5243 6727 10633 11449 23219 36701 47089 74431 80143 102827 162533 256907 329623 354919 561001 719789 1137731 2307361 2484433 3927007 5038523 7964117 11002489 17391031 27489049 35269661 77017423 121737217 246887627 539121961 852160519 3773853727 26416976089