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135492973425 = 3352595636043
BaseRepresentation
bin111111000110000000…
…0101011001101110001
3110221201201221012121000
41332030000223031301
54204442200122200
6142124500352213
712534433162065
oct1761400531561
9427651835530
10135492973425
115250a284397
12223143a5669
13ca13bc8174
1467b4c13aa5
1537d01e6300
hex1f8c02b371

135492973425 has 96 divisors (see below), whose sum is σ = 253615910400. Its totient is φ = 70900211520.

The previous prime is 135492973403. The next prime is 135492973463. The reversal of 135492973425 is 524379294531.

It is a happy number.

135492973425 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 9 + 297 + 342 + 5 = 666.

It is not a de Polignac number, because 135492973425 - 216 = 135492907889 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22418454 + ... + 22424496.

It is an arithmetic number, because the mean of its divisors is an integer number (2641832400).

Almost surely, 2135492973425 is an apocalyptic number.

135492973425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135492973425 is a deficient number, since it is larger than the sum of its proper divisors (118122936975).

135492973425 is a wasteful number, since it uses less digits than its factorization.

135492973425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6684 (or 6673 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 135492973425 in words is "one hundred thirty-five billion, four hundred ninety-two million, nine hundred seventy-three thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 59 75 135 177 225 295 531 563 675 885 1475 1593 1689 2655 2815 4425 5067 6043 7965 8445 13275 14075 15201 18129 25335 30215 33217 39825 42225 54387 76005 90645 99651 126675 151075 163161 166085 271935 298953 356537 380025 453225 498255 815805 830425 896859 1069611 1359675 1494765 1782685 2491275 3208833 3402209 4079025 4484295 5348055 7473825 8913425 9626499 10206627 16044165 17011045 22421475 26740275 30619881 48132495 51033135 80220825 85055225 91859643 153099405 200730331 240662475 255165675 459298215 602190993 765497025 1003651655 1806572979 2296491075 3010954965 5018258275 5419718937 9032864895 15054774825 27098594685 45164324475 135492973425