Search a number
-
+
10206622315044 = 22324161609112241
BaseRepresentation
bin1001010010000110101000…
…0110001111001000100100
31100010202002001120101202100
42110201222012033020210
52314211130303040134
633412505122212100
72102255421136251
oct224415206171044
940122061511670
1010206622315044
113285671235561
12118a1411b4030
135906324530bc
14274008934428
1512a76e979999
hex9486a18f224

10206622315044 has 72 divisors (see below), whose sum is σ = 26430007607640. Its totient is φ = 3319143321600.

The previous prime is 10206622315039. The next prime is 10206622315049. The reversal of 10206622315044 is 44051322660201.

10206622315044 is a `hidden beast` number, since 1 + 0 + 20 + 6 + 622 + 3 + 1 + 5 + 0 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10206622315039) and next prime (10206622315049).

It can be written as a sum of positive squares in 4 ways, for example, as 626124038400 + 9580498276644 = 791280^2 + 3095238^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10206622315049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90878764 + ... + 90991004.

It is an arithmetic number, because the mean of its divisors is an integer number (367083438995).

Almost surely, 210206622315044 is an apocalyptic number.

It is an amenable number.

10206622315044 is an abundant number, since it is smaller than the sum of its proper divisors (16223385292596).

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

10206622315044 is a wasteful number, since it uses less digits than its factorization.

10206622315044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173901 (or 173896 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 10206622315044 its reverse (44051322660201), we get a palindrome (54257944975245).

The spelling of 10206622315044 in words is "ten trillion, two hundred six billion, six hundred twenty-two million, three hundred fifteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 61609 112241 123218 184827 224482 246436 336723 369654 448964 554481 673446 739308 1010169 1108962 1346892 2020338 2217924 2525969 4040676 4601881 5051938 7577907 9203762 10103876 13805643 15155814 18407524 22733721 27611286 30311628 41416929 45467442 55222572 82833858 90934884 165667716 6915055769 13830111538 20745167307 27660223076 41490334614 62235501921 82980669228 124471003842 248942007684 283517286529 567034573058 850551859587 1134069146116 1701103719174 2551655578761 3402207438348 5103311157522 10206622315044