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12735798453 = 3373771113227
BaseRepresentation
bin10111101110001110…
…01101110010110101
31012212120122121002000
423313013031302311
5202040331022303
65503432205513
7630414333510
oct136707156265
935776577060
1012735798453
115446031974
122575239899
13127c729221
1488b633d77
154e8164da3
hex2f71cdcb5

12735798453 has 128 divisors (see below), whose sum is σ = 22756515840. Its totient is φ = 6888913920.

The previous prime is 12735798409. The next prime is 12735798461. The reversal of 12735798453 is 35489753721.

12735798453 is a `hidden beast` number, since 1 + 27 + 3 + 579 + 8 + 45 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-12735798453 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12735798453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12735798403) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56104726 + ... + 56104952.

It is an arithmetic number, because the mean of its divisors is an integer number (177785280).

Almost surely, 212735798453 is an apocalyptic number.

It is an amenable number.

12735798453 is a deficient number, since it is larger than the sum of its proper divisors (10020717387).

12735798453 is a wasteful number, since it uses less digits than its factorization.

12735798453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 12735798453 in words is "twelve billion, seven hundred thirty-five million, seven hundred ninety-eight thousand, four hundred fifty-three".

Divisors: 1 3 7 9 21 27 37 63 71 111 113 189 213 227 259 333 339 497 639 681 777 791 999 1017 1491 1589 1917 2043 2331 2373 2627 3051 4181 4473 4767 6129 6993 7119 7881 8023 8399 12543 13419 14301 16117 18389 21357 23643 24069 25197 25651 29267 37629 42903 48351 55167 56161 58793 70929 72207 75591 76953 87801 112819 112887 145053 165501 168483 176379 179557 216621 226773 230859 263403 296851 338457 435159 496503 505449 529137 538671 596329 692577 790209 890553 949087 1015371 1516347 1587411 1616013 1788987 1821221 2077957 2671659 2847261 3046113 4174303 4848039 5366961 5463663 6233871 6643609 8014977 8541783 12522909 12748547 16100883 16390989 18701613 19930827 25625349 37568727 38245641 49172967 56104839 59792481 67385177 112706181 114736923 179377443 202155531 344210769 471696239 606466593 1415088717 1819399779 4245266151 12735798453