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23430655665 = 3251573316441
BaseRepresentation
bin10101110100100100…
…110110111010110001
32020110220220122002200
4111310210312322301
5340441221440130
614433000133413
71456430200314
oct256444667261
966426818080
1023430655665
119a33aa343a
12465aa67269
132295374cc1
1411c3b9297b
1592202b760
hex574936eb1

23430655665 has 24 divisors (see below), whose sum is σ = 40871831208. Its totient is φ = 12416751360.

The previous prime is 23430655639. The next prime is 23430655669. The reversal of 23430655665 is 56655603432.

23430655665 is a `hidden beast` number, since 2 + 3 + 4 + 30 + 6 + 556 + 65 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7400816784 + 16029838881 = 86028^2 + 126609^2 .

It is not a de Polignac number, because 23430655665 - 213 = 23430647473 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 23430655665.

It is not an unprimeable number, because it can be changed into a prime (23430655669) 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 23 ways as a sum of consecutive naturals, for example, 1651156 + ... + 1665285.

It is an arithmetic number, because the mean of its divisors is an integer number (1702992967).

Almost surely, 223430655665 is an apocalyptic number.

It is an amenable number.

23430655665 is a deficient number, since it is larger than the sum of its proper divisors (17441175543).

23430655665 is a wasteful number, since it uses less digits than its factorization.

23430655665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316609 (or 3316606 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 23430655665 in words is "twenty-three billion, four hundred thirty million, six hundred fifty-five thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 45 157 471 785 1413 2355 7065 3316441 9949323 16582205 29847969 49746615 149239845 520681237 1562043711 2603406185 4686131133 7810218555 23430655665