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23468928769 = 1121322933917
BaseRepresentation
bin10101110110110110…
…110110111100000001
32020120120221002221001
4111312312312330001
5341031021210034
614440444332001
71460403413566
oct256666667401
966516832831
1023468928769
119a53664600
12466b844001
1322a0285800
1411c8cb686d
1592558ba14
hex576db6f01

23468928769 has 36 divisors (see below), whose sum is σ = 28035899388. Its totient is φ = 19621979520.

The previous prime is 23468928767. The next prime is 23468928779. The reversal of 23468928769 is 96782986432.

It can be written as a sum of positive squares in 6 ways, for example, as 63600625 + 23405328144 = 7975^2 + 152988^2 .

It is not a de Polignac number, because 23468928769 - 21 = 23468928767 is a prime.

It is a super-2 number, since 2×234689287692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23468928769.

It is not an unprimeable number, because it can be changed into a prime (23468928767) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5989599 + ... + 5993515.

It is an arithmetic number, because the mean of its divisors is an integer number (778774983).

Almost surely, 223468928769 is an apocalyptic number.

It is an amenable number.

23468928769 is a deficient number, since it is larger than the sum of its proper divisors (4566970619).

23468928769 is a wasteful number, since it uses less digits than its factorization.

23468928769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4258 (or 4234 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 64.

The spelling of 23468928769 in words is "twenty-three billion, four hundred sixty-eight million, nine hundred twenty-eight thousand, seven hundred sixty-nine".

Divisors: 1 11 13 121 143 169 293 1573 1859 3223 3809 3917 20449 35453 41899 43087 49517 50921 460889 473957 544687 560131 661973 1147681 5991557 6161441 7281703 12624491 14919853 80098733 138869401 164118383 193958089 1805302213 2133538979 23468928769