Search a number
-
+
10725916356 = 22324124212
BaseRepresentation
bin10011111110101000…
…00111111011000100
31000200111201000011100
421333110013323010
5133431313310411
64532153340100
7526540533111
oct117724077304
930614630140
1010725916356
114604555791
1220b4107630
13101c201b8c
1473a725908
1542b99e456
hex27f507ec4

10725916356 has 81 divisors (see below), whose sum is σ = 27856314759. Its totient is φ = 3479817600.

The previous prime is 10725916351. The next prime is 10725916361. The reversal of 10725916356 is 65361952701.

The square root of 10725916356 is 103566.

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

10725916356 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 5 + 9 + 1 + 635 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (10725916351) and next prime (10725916361).

It can be written as a sum of positive squares in 4 ways, for example, as 9847386756 + 878529600 = 99234^2 + 29640^2 .

It is not an unprimeable number, because it can be changed into a prime (10725916351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25477026 + ... + 25477446.

Almost surely, 210725916356 is an apocalyptic number.

10725916356 is the 103566-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10725916356

10725916356 is an abundant number, since it is smaller than the sum of its proper divisors (17130398403).

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

10725916356 is an equidigital number, since it uses as much as digits as its factorization.

10725916356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 10725916356 in words is "ten billion, seven hundred twenty-five million, nine hundred sixteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 421 492 738 842 1263 1476 1681 1684 2526 3362 3789 5043 5052 6724 7578 10086 15129 15156 17261 20172 30258 34522 51783 60516 69044 103566 155349 177241 207132 310698 354482 531723 621396 707701 708964 1063446 1415402 1595169 2123103 2126892 2830804 3190338 4246206 6369309 6380676 7266881 8492412 12738618 14533762 21800643 25477236 29067524 43601286 65401929 87202572 130803858 261607716 297942121 595884242 893826363 1191768484 1787652726 2681479089 3575305452 5362958178 10725916356