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23454003609 = 327127192
BaseRepresentation
bin10101110101111101…
…111011000110011001
32020112112211211110100
4111311331323012121
5341013211103414
614435152410013
71460132512161
oct256575730631
966475754410
1023454003609
119a461a0063
124666846909
13229a15b25a
1411c6d0d5a1
159240de609
hex575f7b199

23454003609 has 27 divisors (see below), whose sum is σ = 34409738389. Its totient is φ = 15394336440.

The previous prime is 23454003499. The next prime is 23454003611. The reversal of 23454003609 is 90630045432.

The square root of 23454003609 is 153147.

It is a perfect power (a square), and thus also a powerful number.

23454003609 is a `hidden beast` number, since 2 + 3 + 4 + 5 + 40 + 0 + 3 + 609 = 666.

It is a de Polignac number, because none of the positive numbers 2k-23454003609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23454003649) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32619952 + ... + 32620670.

Almost surely, 223454003609 is an apocalyptic number.

23454003609 is the 153147-th square number.

23454003609 is the 76574-th centered octagonal number.

It is an amenable number.

23454003609 is a deficient number, since it is larger than the sum of its proper divisors (10955734780).

23454003609 is an frugal number, since it uses more digits than its factorization.

23454003609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Multiplying 23454003609 by its sum of digits (36), we get a square (844344129924 = 9188822).

The spelling of 23454003609 in words is "twenty-three billion, four hundred fifty-four million, three thousand, six hundred nine".

Divisors: 1 3 9 71 213 639 719 2157 5041 6471 15123 45369 51049 153147 459441 516961 1550883 3624479 4652649 10873437 32620311 36704231 110112693 330338079 2606000401 7818001203 23454003609