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23280638269 = 7197310123741
BaseRepresentation
bin10101101011101000…
…100101100100111101
32020002110121221220211
4111223220211210331
5340134320411034
614410040512421
71452626105650
oct255350454475
966073557824
1023280638269
11996734a119
12461877b711
13227026b205
1411abca1897
15913c96d64
hex56ba2593d

23280638269 has 32 divisors (see below), whose sum is σ = 28672738560. Its totient is φ = 18460224000.

The previous prime is 23280638267. The next prime is 23280638273. The reversal of 23280638269 is 96283608232.

It is a cyclic number.

It is not a de Polignac number, because 23280638269 - 21 = 23280638267 is a prime.

It is a super-2 number, since 2×232806382692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23280638267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 968739 + ... + 992479.

It is an arithmetic number, because the mean of its divisors is an integer number (896023080).

Almost surely, 223280638269 is an apocalyptic number.

It is an amenable number.

23280638269 is a deficient number, since it is larger than the sum of its proper divisors (5392100291).

23280638269 is a wasteful number, since it uses less digits than its factorization.

23280638269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23941.

The product of its (nonzero) digits is 1492992, while the sum is 49.

It can be divided in two parts, 2328063 and 8269, that added together give a palindrome (2336332).

The spelling of 23280638269 in words is "twenty-three billion, two hundred eighty million, six hundred thirty-eight thousand, two hundred sixty-nine".

Divisors: 1 7 19 73 101 133 511 707 1387 1919 7373 9709 13433 23741 51611 140087 166187 451079 980609 1733093 2397841 3157553 12131651 16784887 32928767 45558979 175042393 230501369 318912853 1225296751 3325805467 23280638269