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13153535040 = 263513701599
BaseRepresentation
bin11000100000000001…
…10000010001000000
31020221200200210221110
430100000300101000
5203414301110130
610013113523320
7643646126442
oct142000602100
936850623843
1013153535040
11563a911618
122671113540
13131813a939
148cacd4492
1551eb7dab0
hex310030440

13153535040 has 56 divisors (see below), whose sum is σ = 41762476800. Its totient is φ = 3507609088.

The previous prime is 13153534991. The next prime is 13153535041. The reversal of 13153535040 is 4053535131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13153534989 and 13153535007.

It is not an unprimeable number, because it can be changed into a prime (13153535041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6849840 + ... + 6851759.

Almost surely, 213153535040 is an apocalyptic number.

13153535040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13153535040 is an abundant number, since it is smaller than the sum of its proper divisors (28608941760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13153535040 is a wasteful number, since it uses less digits than its factorization.

13153535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13701619 (or 13701609 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

Subtracting from 13153535040 its reverse (4053535131), we obtain a palindrome (9099999909).

The spelling of 13153535040 in words is "thirteen billion, one hundred fifty-three million, five hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 13701599 27403198 41104797 54806396 68507995 82209594 109612792 137015990 164419188 205523985 219225584 274031980 328838376 411047970 438451168 548063960 657676752 822095940 876902336 1096127920 1315353504 1644191880 2192255840 2630707008 3288383760 4384511680 6576767520 13153535040