Search a number
-
+
42635453625 = 345323223821
BaseRepresentation
bin100111101101010001…
…010110010010111001
311002001100010110020000
4213231101112102321
51144304134004000
631330401423213
73036355243032
oct475521262271
9132040113200
1042635453625
1117099669396
12831a63ab09
13403608988b
1420c65dba89
15119806c000
hex9ed4564b9

42635453625 has 160 divisors (see below), whose sum is σ = 83414403072. Its totient is φ = 21626352000.

The previous prime is 42635453621. The next prime is 42635453639. The reversal of 42635453625 is 52635453624.

42635453625 is a `hidden beast` number, since 4 + 2 + 63 + 54 + 536 + 2 + 5 = 666.

It is not a de Polignac number, because 42635453625 - 22 = 42635453621 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (42635453621) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 51930715 + ... + 51931535.

Almost surely, 242635453625 is an apocalyptic number.

42635453625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42635453625 is a deficient number, since it is larger than the sum of its proper divisors (40778949447).

42635453625 is a wasteful number, since it uses less digits than its factorization.

42635453625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1075 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 45.

Subtracting 42635453625 from its reverse (52635453624), we obtain a palindrome (9999999999).

The spelling of 42635453625 in words is "forty-two billion, six hundred thirty-five million, four hundred fifty-three thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 27 45 69 75 81 115 125 135 207 223 225 345 375 405 575 621 669 675 821 1035 1115 1125 1725 1863 2007 2025 2463 2875 3105 3345 3375 4105 5129 5175 5575 6021 7389 8625 9315 10035 10125 12315 15387 15525 16725 18063 18883 20525 22167 25645 25875 27875 30105 36945 46161 46575 50175 56649 61575 66501 76935 77625 83625 90315 94415 102625 110835 128225 138483 150525 169947 183083 184725 230805 232875 250875 283245 307875 332505 384675 415449 451575 472075 509841 549249 554175 641125 692415 752625 849735 915415 923625 1154025 1416225 1529523 1647747 1662525 1923375 2077245 2257875 2360375 2549205 2746245 2770875 3462075 4210909 4248675 4577075 4943241 5770125 7081125 7647615 8238735 8312625 10386225 12632727 12746025 13731225 14829723 17310375 21054545 21243375 22885375 24716205 37898181 38238075 41193675 51931125 63163635 63730125 68656125 74148615 105272725 113694543 123581025 189490905 191190375 205968375 315818175 341083629 370743075 526363625 568472715 617905125 947454525 1579090875 1705418145 1853715375 2842363575 4737272625 8527090725 14211817875 42635453625