Search a number
-
+
1052413150336 = 2726956953717
BaseRepresentation
bin11110101000010001011…
…01100100010010000000
310201121110111000100001021
433110020231210102000
5114220320231302321
62123245534115224
7136014531115342
oct17241055442200
93647414010037
101052413150336
11376364872569
1214bb6b04bb14
137831bc79972
1438d1945b292
151c597dcd941
hexf508b64480

1052413150336 has 64 divisors (see below), whose sum is σ = 2108136051000. Its totient is φ = 523319320576.

The previous prime is 1052413150319. The next prime is 1052413150363. The reversal of 1052413150336 is 6330513142501.

It can be written as a sum of positive squares in 4 ways, for example, as 468020174400 + 584392975936 = 684120^2 + 764456^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10524131503362 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19564950 + ... + 19618666.

Almost surely, 21052413150336 is an apocalyptic number.

1052413150336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1052413150336 is an abundant number, since it is smaller than the sum of its proper divisors (1055722900664).

1052413150336 is an equidigital number, since it uses as much as digits as its factorization.

1052413150336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54569 (or 54557 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

Adding to 1052413150336 its reverse (6330513142501), we get a palindrome (7382926292837).

The spelling of 1052413150336 in words is "one trillion, fifty-two billion, four hundred thirteen million, one hundred fifty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 269 538 569 1076 1138 2152 2276 4304 4552 8608 9104 17216 18208 34432 36416 53717 72832 107434 153061 214868 306122 429736 612244 859472 1224488 1718944 2448976 3437888 4897952 6875776 9795904 14449873 19591808 28899746 30564973 57799492 61129946 115598984 122259892 231197968 244519784 462395936 489039568 924791872 978079136 1849583744 1956158272 3912316544 8221977737 16443955474 32887910948 65775821896 131551643792 263103287584 526206575168 1052413150336