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42036057675 = 3452175092399
BaseRepresentation
bin100111001001100010…
…110101011001001011
311000111120020222120000
4213021202311121023
51142042212321200
631151110334043
73015456411003
oct471142653113
9130446228500
1042036057675
1116911293337
12819195a323
133c6bb42c11
14206ab71003
15116061d300
hex9c98b564b

42036057675 has 120 divisors (see below), whose sum is σ = 82642032000. Its totient is φ = 21050219520.

The previous prime is 42036057619. The next prime is 42036057683. The reversal of 42036057675 is 57675063024.

42036057675 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 6 + 0 + 576 + 75 = 666.

42036057675 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42036057675 - 26 = 42036057611 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 42036057675.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17521126 + ... + 17523524.

It is an arithmetic number, because the mean of its divisors is an integer number (688683600).

Almost surely, 242036057675 is an apocalyptic number.

42036057675 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42036057675 is a deficient number, since it is larger than the sum of its proper divisors (40605974325).

42036057675 is a wasteful number, since it uses less digits than its factorization.

42036057675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 42036057675 in words is "forty-two billion, thirty-six million, fifty-seven thousand, six hundred seventy-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 81 85 135 153 225 255 405 425 459 509 675 765 1275 1377 1527 2025 2295 2399 2545 3825 4581 6885 7197 7635 8653 11475 11995 12725 13743 21591 22905 25959 34425 35985 38175 40783 41229 43265 59975 64773 68715 77877 107955 114525 122349 129795 179925 194319 203915 206145 216325 233631 323865 343575 367047 389385 539775 611745 648975 700893 971595 1019575 1030725 1101141 1168155 1221091 1619325 1835235 1946925 3058725 3303423 3504465 3663273 4857975 5505705 5840775 6105455 9176175 10989819 16517115 17522325 18316365 20758547 27528525 30527275 32969457 54949095 62275641 82585575 91581825 98908371 103792735 164847285 186826923 274745475 311378205 494541855 518963675 560480769 824236425 934134615 1556891025 1681442307 2472709275 2802403845 4670673075 8407211535 14012019225 42036057675