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23205147456 = 263435947639
BaseRepresentation
bin10101100111001000…
…100111001101000000
32012220012120121222210
4111213020213031000
5340011004204311
614354342502120
71451021333061
oct254710471500
965805517883
1023205147456
119928778817
1245b7434940
13225a7293aa
1411a1c50568
1590c3343a6
hex567227340

23205147456 has 112 divisors (see below), whose sum is σ = 63890956800. Its totient is φ = 7426954752.

The previous prime is 23205147443. The next prime is 23205147457. The reversal of 23205147456 is 65474150232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23205147457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463285 + ... + 510923.

Almost surely, 223205147456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23205147456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31945478400).

23205147456 is an abundant number, since it is smaller than the sum of its proper divisors (40685809344).

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

23205147456 is a wasteful number, since it uses less digits than its factorization.

23205147456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47756 (or 47746 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

Adding to 23205147456 its reverse (65474150232), we get a palindrome (88679297688).

The spelling of 23205147456 in words is "twenty-three billion, two hundred five million, one hundred forty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 59 64 86 96 118 129 172 177 192 236 258 344 354 472 516 688 708 944 1032 1376 1416 1888 2064 2537 2752 2832 3776 4128 5074 5664 7611 8256 10148 11328 15222 20296 30444 40592 47639 60888 81184 95278 121776 142917 162368 190556 243552 285834 381112 487104 571668 762224 1143336 1524448 2048477 2286672 2810701 3048896 4096954 4573344 5621402 6145431 8193908 8432103 9146688 11242804 12290862 16387816 16864206 22485608 24581724 32775632 33728412 44971216 49163448 65551264 67456824 89942432 98326896 120860143 131102528 134913648 179884864 196653792 241720286 269827296 362580429 393307584 483440572 539654592 725160858 966881144 1450321716 1933762288 2900643432 3867524576 5801286864 7735049152 11602573728 23205147456