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10540294245 = 32513459139
BaseRepresentation
bin10011101000100000…
…00010000001100101
31000012120102102111100
421310100002001211
5133041303403440
64501523030313
7522125010555
oct116420020145
930176372440
1010540294245
1145197a3088
122061b0b399
13cbc910000
1471dc07165
1541a535230
hex274402065

10540294245 has 120 divisors (see below), whose sum is σ = 20272543200. Its totient is φ = 5064418944.

The previous prime is 10540294243. The next prime is 10540294291. The reversal of 10540294245 is 54249204501.

It is a happy number.

10540294245 is a `hidden beast` number, since 1 + 0 + 5 + 402 + 9 + 4 + 245 = 666.

It is not a de Polignac number, because 10540294245 - 21 = 10540294243 is a prime.

It is a super-2 number, since 2×105402942452 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10540294243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 75829386 + ... + 75829524.

It is an arithmetic number, because the mean of its divisors is an integer number (168937860).

Almost surely, 210540294245 is an apocalyptic number.

10540294245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10540294245 is a deficient number, since it is larger than the sum of its proper divisors (9732248955).

10540294245 is an equidigital number, since it uses as much as digits as its factorization.

10540294245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 10540294245 its reverse (54249204501), we get a palindrome (64789498746).

The spelling of 10540294245 in words is "ten billion, five hundred forty million, two hundred ninety-four thousand, two hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 59 65 117 139 169 177 195 295 417 507 531 585 695 767 845 885 1251 1521 1807 2085 2197 2301 2535 2655 3835 5421 6255 6591 6903 7605 8201 9035 9971 10985 11505 16263 19773 23491 24603 27105 28561 29913 32955 34515 41005 49855 70473 73809 81315 85683 89739 98865 106613 117455 123015 129623 142805 149565 211419 257049 305383 319839 352365 369045 388869 428415 448695 533065 648115 916149 959517 1057095 1166607 1285245 1385969 1526915 1599195 1685099 1944345 2748447 3969979 4157907 4580745 4797585 5055297 5833035 6929845 8425495 11909937 12473721 13742235 15165891 18017597 19849895 20789535 25276485 35729811 54052791 59549685 62368605 75829455 90087985 162158373 178649055 234228761 270263955 702686283 810791865 1171143805 2108058849 3513431415 10540294245