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10530043456 = 2610121272
BaseRepresentation
bin10011100111010001…
…11011011001000000
31000011212010122001111
421303220323121000
5133031142342311
64500515213104
7521641615102
oct116350733100
930155118044
1010530043456
114513a31559
12205a5a7194
13cba76125a
1471c6d9572
154196acd21
hex273a3b640

10530043456 has 63 divisors (see below), whose sum is σ = 21271975617. Its totient is φ = 5171846400.

The previous prime is 10530043421. The next prime is 10530043487. The reversal of 10530043456 is 65434003501.

The square root of 10530043456 is 102616.

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

It can be written as a sum of positive squares in only one way, i.e., 10117141056 + 412902400 = 100584^2 + 20320^2 .

It is a super-2 number, since 2×105300434562 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 82913665 + ... + 82913791.

Almost surely, 210530043456 is an apocalyptic number.

10530043456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10530043456 is the 102616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10530043456

10530043456 is an abundant number, since it is smaller than the sum of its proper divisors (10741932161).

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

10530043456 is an frugal number, since it uses more digits than its factorization.

10530043456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 10530043456 its reverse (65434003501), we get a palindrome (75964046957).

The spelling of 10530043456 in words is "ten billion, five hundred thirty million, forty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 101 127 202 254 404 508 808 1016 1616 2032 3232 4064 6464 8128 10201 12827 16129 20402 25654 32258 40804 51308 64516 81608 102616 129032 163216 205232 258064 326432 410464 516128 652864 820928 1032256 1295527 1629029 2591054 3258058 5182108 6516116 10364216 13032232 20728432 26064464 41456864 52128928 82913728 104257856 164531929 329063858 658127716 1316255432 2632510864 5265021728 10530043456