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10141756485 = 3573115971951
BaseRepresentation
bin10010111000111111…
…01110110001000101
3222011210111121110120
421130133232301011
5131232242201420
64354205012153
7506215336110
oct113437566105
928153447416
1010141756485
114334836833
121b70554059
13c58191153
146c2d03577
153e555ed40
hex25c7eec45

10141756485 has 64 divisors (see below), whose sum is σ = 19164954624. Its totient is φ = 4481568000.

The previous prime is 10141756463. The next prime is 10141756501. The reversal of 10141756485 is 58465714101.

It is not a de Polignac number, because 10141756485 - 212 = 10141752389 is a prime.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5197260 + ... + 5199210.

It is an arithmetic number, because the mean of its divisors is an integer number (299452416).

Almost surely, 210141756485 is an apocalyptic number.

10141756485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10141756485 is a deficient number, since it is larger than the sum of its proper divisors (9023198139).

10141756485 is a wasteful number, since it uses less digits than its factorization.

10141756485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594.

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 10141756485 in words is "ten billion, one hundred forty-one million, seven hundred fifty-six thousand, four hundred eighty-five".

Divisors: 1 3 5 7 15 21 31 35 93 105 155 217 465 651 1085 1597 1951 3255 4791 5853 7985 9755 11179 13657 23955 29265 33537 40971 49507 55895 60481 68285 148521 167685 181443 204855 247535 302405 346549 423367 742605 907215 1039647 1270101 1732745 2116835 3115747 5198235 6350505 9347241 15578735 21810229 46736205 65430687 96588157 109051145 289764471 327153435 482940785 676117099 1448822355 2028351297 3380585495 10141756485