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13135011840 = 21334537107
BaseRepresentation
bin11000011101110100…
…00110000000000000
31020220101211201220000
430032322012000000
5203400030334330
610011212520000
7643332521106
oct141672060000
936811751800
1013135011840
11563040a895
122666a80000
131314353772
148c8671c76
1551d220560
hex30ee86000

13135011840 has 560 divisors, whose sum is σ = 48813214032. Its totient is φ = 3376152576.

The previous prime is 13135011797. The next prime is 13135011853. The reversal of 13135011840 is 4811053131.

13135011840 is a `hidden beast` number, since 131 + 350 + 1 + 184 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122757067 + ... + 122757173.

Almost surely, 213135011840 is an apocalyptic number.

13135011840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13135011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24406607016).

13135011840 is an abundant number, since it is smaller than the sum of its proper divisors (35678202192).

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

13135011840 is an equidigital number, since it uses as much as digits as its factorization.

13135011840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 13135011840 its reverse (4811053131), we get a palindrome (17946064971).

The spelling of 13135011840 in words is "thirteen billion, one hundred thirty-five million, eleven thousand, eight hundred forty".