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9242130496 = 266121972
BaseRepresentation
bin10001001101101111…
…11011100001000000
3212212002200212121111
420212313323201000
5122411441133441
64125030533104
7445012545604
oct104667734100
925762625544
109242130496
113a12a3a485
12195b207194
13b43998a91
14639643504
153915a9081
hex226dfb840

9242130496 has 63 divisors (see below), whose sum is σ = 18740562087. Its totient is φ = 4522237440.

The previous prime is 9242130493. The next prime is 9242130511. The reversal of 9242130496 is 6940312429.

The square root of 9242130496 is 96136.

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

It can be written as a sum of positive squares in 4 ways, for example, as 13838400 + 9228292096 = 3720^2 + 96064^2 .

It is a super-2 number, since 2×92421304962 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9242130493) 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, 46914270 + ... + 46914466.

Almost surely, 29242130496 is an apocalyptic number.

9242130496 is the 96136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9242130496

9242130496 is an abundant number, since it is smaller than the sum of its proper divisors (9498431591).

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

9242130496 is an frugal number, since it uses more digits than its factorization.

9242130496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The cubic root of 9242130496 is about 2098.5727638540.

The spelling of 9242130496 in words is "nine billion, two hundred forty-two million, one hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 61 64 122 197 244 394 488 788 976 1576 1952 3152 3721 3904 6304 7442 12017 12608 14884 24034 29768 38809 48068 59536 77618 96136 119072 155236 192272 238144 310472 384544 620944 733037 769088 1241888 1466074 2367349 2483776 2932148 4734698 5864296 9469396 11728592 18938792 23457184 37877584 46914368 75755168 144408289 151510336 288816578 577633156 1155266312 2310532624 4621065248 9242130496