Search a number
-
+
23466345651 = 347613971709
BaseRepresentation
bin10101110110101101…
…000000010010110011
32020120102001212120000
4111312231000102303
5341024341030101
614440313121043
71460342434620
oct256655002263
966512055500
1023466345651
119a5215a8a1
12466a9b9183
13229c88cb38
1411c8803347
1592522b486
hex576b404b3

23466345651 has 80 divisors (see below), whose sum is σ = 40845689280. Its totient is φ = 13148593920.

The previous prime is 23466345629. The next prime is 23466345673. The reversal of 23466345651 is 15654366432.

23466345651 is a `hidden beast` number, since 2 + 3 + 4 + 6 + 634 + 5 + 6 + 5 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (23466345629) and next prime (23466345673).

It is not a de Polignac number, because 23466345651 - 213 = 23466337459 is a prime.

It is a super-2 number, since 2×234663456512 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23466345597 and 23466345606.

It is not an unprimeable number, because it can be changed into a prime (23466345611) 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, 13730185 + ... + 13731893.

It is an arithmetic number, because the mean of its divisors is an integer number (510571116).

Almost surely, 223466345651 is an apocalyptic number.

23466345651 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23466345651 is a deficient number, since it is larger than the sum of its proper divisors (17379343629).

23466345651 is a wasteful number, since it uses less digits than its factorization.

23466345651 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186 (or 2177 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The spelling of 23466345651 in words is "twenty-three billion, four hundred sixty-six million, three hundred forty-five thousand, six hundred fifty-one".

Divisors: 1 3 7 9 21 27 61 63 81 183 189 397 427 549 567 1191 1281 1647 1709 2779 3573 3843 4941 5127 8337 10719 11529 11963 15381 24217 25011 32157 34587 35889 46143 72651 75033 104249 107667 138429 169519 217953 225099 312747 323001 508557 653859 678473 729743 938241 969003 1525671 1961577 2035419 2189229 2814723 4577013 4749311 6106257 6567687 8444169 13731039 14247933 18318771 19703061 41386853 42743799 54956313 59109183 124160559 128231397 289707971 372481677 384694191 869123913 1117445031 2607371739 3352335093 7822115217 23466345651