Search a number
-
+
23547516304 = 241342272
BaseRepresentation
bin10101111011100010…
…101001010110010000
32020210001210202202111
4111323202221112100
5341211131010204
614452332555104
71462346405014
oct257342512620
966701722674
1023547516304
119a93a60584
124692022a94
1322b3640000
1411d54d2544
1592c411d04
hex57b8a9590

23547516304 has 75 divisors (see below), whose sum is σ = 49643813447. Its totient is φ = 10820207424.

The previous prime is 23547516287. The next prime is 23547516313. The reversal of 23547516304 is 40361574532.

It is a happy number.

The square root of 23547516304 is 153452.

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

It can be written as a sum of positive squares in 2 ways, for example, as 11675234704 + 11872281600 = 108052^2 + 108960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 103733439 + ... + 103733665.

Almost surely, 223547516304 is an apocalyptic number.

23547516304 is the 153452-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23547516304

23547516304 is an abundant number, since it is smaller than the sum of its proper divisors (26096297143).

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

23547516304 is an frugal number, since it uses more digits than its factorization.

23547516304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 23547516304 in words is "twenty-three billion, five hundred forty-seven million, five hundred sixteen thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 227 338 454 676 908 1352 1816 2197 2704 2951 3632 4394 5902 8788 11804 17576 23608 28561 35152 38363 47216 51529 57122 76726 103058 114244 153452 206116 228488 306904 412232 456976 498719 613808 669877 824464 997438 1339754 1994876 2679508 3989752 5359016 6483347 7979504 8708401 10718032 12966694 17416802 25933388 34833604 51866776 69667208 103733552 113209213 139334416 226418426 452836852 905673704 1471719769 1811347408 2943439538 5886879076 11773758152 23547516304