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9243648512 = 29726072
BaseRepresentation
bin10001001101111011…
…01110001000000000
3212212012112222221022
420212331232020000
5122412333223022
64125123245012
7445031500400
oct104675561000
925765488838
109243648512
113a13886a3a
12195b819768
13b440aaa07
1463991a800
153917a8c42
hex226f6e200

9243648512 has 90 divisors (see below), whose sum is σ = 21520082727. Its totient is φ = 3955037184.

The previous prime is 9243648499. The next prime is 9243648517. The reversal of 9243648512 is 2158463429.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 4621824256 + 4621824256 = 67984^2 + 67984^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=67984.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9243648517) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15228113 + ... + 15228719.

Almost surely, 29243648512 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 9243648512

9243648512 is an abundant number, since it is smaller than the sum of its proper divisors (12276434215).

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

9243648512 is an frugal number, since it uses more digits than its factorization.

9243648512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 616 counting only the distinct ones).

The product of its digits is 414720, while the sum is 44.

The square root of 9243648512 is about 96143.8948243725. The cubic root of 9243648512 is about 2098.6876541251.

The spelling of 9243648512 in words is "nine billion, two hundred forty-three million, six hundred forty-eight thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 607 784 896 1214 1568 1792 2428 3136 3584 4249 4856 6272 8498 9712 12544 16996 19424 25088 29743 33992 38848 59486 67984 77696 118972 135968 155392 237944 271936 310784 368449 475888 543872 736898 951776 1087744 1473796 1903552 2175488 2579143 2947592 3807104 5158286 5895184 7614208 10316572 11790368 15228416 18054001 20633144 23580736 36108002 41266288 47161472 72216004 82532576 94322944 144432008 165065152 188645888 288864016 330130304 577728032 660260608 1155456064 1320521216 2310912128 4621824256 9243648512