Search a number
-
+
23945288953664 = 261328780395377
BaseRepresentation
bin1010111000111001100100…
…11100010010111101000000
310010210010222100200002022102
411130130302130102331000
511114304422433004124
6122532151444325532
75020663403556221
oct534346234227500
9103703870602272
1023945288953664
1176a215a3a8831
1228289109a38a8
131049053311a70
145cad5b305248
152b7d12ac0aae
hex15c732712f40

23945288953664 has 28 divisors (see below), whose sum is σ = 51171542982084. Its totient is φ = 11051671824384.

The previous prime is 23945288953643. The next prime is 23945288953669. The reversal of 23945288953664 is 46635988254932.

It can be written as a sum of positive squares in 2 ways, for example, as 9061063225600 + 14884225728064 = 3010160^2 + 3858008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23945288953591 and 23945288953600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23945288953669) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14390196857 + ... + 14390198520.

It is an arithmetic number, because the mean of its divisors is an integer number (1827555106503).

Almost surely, 223945288953664 is an apocalyptic number.

It is an amenable number.

23945288953664 is an abundant number, since it is smaller than the sum of its proper divisors (27226254028420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23945288953664 is a wasteful number, since it uses less digits than its factorization.

23945288953664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28780395402 (or 28780395392 counting only the distinct ones).

The product of its digits is 2687385600, while the sum is 74.

The spelling of 23945288953664 in words is "twenty-three trillion, nine hundred forty-five billion, two hundred eighty-eight million, nine hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 28780395377 57560790754 115121581508 230243163016 374145139901 460486326032 748290279802 920972652064 1496580559604 1841945304128 2993161119208 5986322238416 11972644476832 23945288953664