Search a number
-
+
26623464021 = 3471141104113
BaseRepresentation
bin11000110010111000…
…011101001001010101
32112201102202002210000
4120302320131021111
5414011101322041
620121453121513
71631516465430
oct306270351125
975642662700
1026623464021
1110322284630
1251b0189299
13268399630b
141407c28817
15a5c4a8bb6
hex632e1d255

26623464021 has 80 divisors (see below), whose sum is σ = 50794305408. Its totient is φ = 13492915200.

The previous prime is 26623463987. The next prime is 26623464029. The reversal of 26623464021 is 12046432662.

26623464021 is a `hidden beast` number, since 2 + 6 + 6 + 2 + 3 + 4 + 640 + 2 + 1 = 666.

It is not a de Polignac number, because 26623464021 - 26 = 26623463957 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26623464029) 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 79 ways as a sum of consecutive naturals, for example, 203661 + ... + 307773.

Almost surely, 226623464021 is an apocalyptic number.

26623464021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

26623464021 is a deficient number, since it is larger than the sum of its proper divisors (24170841387).

26623464021 is a wasteful number, since it uses less digits than its factorization.

26623464021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104184 (or 104175 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 26623464021 its reverse (12046432662), we get a palindrome (38669896683).

The spelling of 26623464021 in words is "twenty-six billion, six hundred twenty-three million, four hundred sixty-four thousand, twenty-one".

Divisors: 1 3 7 9 11 21 27 33 41 63 77 81 99 123 189 231 287 297 369 451 567 693 861 891 1107 1353 2079 2583 3157 3321 4059 6237 7749 9471 12177 23247 28413 36531 85239 104113 255717 312339 728791 937017 1145243 2186373 2811051 3435729 4268633 6559119 8016701 8433153 10307187 12805899 19677357 24050103 29880431 30921561 38417697 46954963 59032071 72150309 89641293 92764683 115253091 140864889 216450927 268923879 328684741 345759273 422594667 649352781 806771637 986054223 1267784001 2420314911 2958162669 3803352003 8874488007 26623464021