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10411424410 = 2517253101673
BaseRepresentation
bin10011011001001000…
…11011101010011010
3222212120221011022111
421230210123222122
5132310311040120
64441040542534
7516001435012
oct115444335232
928776834274
1010411424410
114462a83292
122026921a4a
13c9bccba7a
1470aa5cc42
1540e07b75a
hex26c91ba9a

10411424410 has 96 divisors (see below), whose sum is σ = 20514678192. Its totient is φ = 3801907200.

The previous prime is 10411424399. The next prime is 10411424411. The reversal of 10411424410 is 1442411401.

10411424410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 2786467369 + 7624957041 = 52787^2 + 87321^2 .

It is not an unprimeable number, because it can be changed into a prime (10411424411) 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 47 ways as a sum of consecutive naturals, for example, 15469834 + ... + 15470506.

Almost surely, 210411424410 is an apocalyptic number.

10411424410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10411424410 is a deficient number, since it is larger than the sum of its proper divisors (10103253782).

10411424410 is a wasteful number, since it uses less digits than its factorization.

10411424410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 10411424410 its reverse (1442411401), we get a palindrome (11853835811).

The spelling of 10411424410 in words is "ten billion, four hundred eleven million, four hundred twenty-four thousand, four hundred ten".

Divisors: 1 2 5 10 17 34 53 85 101 106 170 202 265 289 505 530 578 673 901 1010 1346 1445 1717 1802 2890 3365 3434 4505 5353 6730 8585 9010 10706 11441 15317 17170 22882 26765 29189 30634 35669 53530 57205 58378 67973 71338 76585 91001 114410 135946 145945 153170 178345 182002 194497 291890 339865 356690 388994 455005 606373 679730 910010 972485 1155541 1212746 1547017 1944970 2311082 3031865 3094034 3602569 5777705 6063730 7205138 7735085 10308341 11555410 15470170 18012845 19644197 20616682 36025690 39288394 51541705 61243673 98220985 103083410 122487346 196441970 306218365 612436730 1041142441 2082284882 5205712205 10411424410