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13550423040 = 2103357111967
BaseRepresentation
bin11001001111010101…
…10000110000000000
31021222100111210221000
430213222300300000
5210222402014130
610120332332000
7656535460350
oct144752606000
937870453830
1013550423040
115823951430
122762014000
13137c42c8cb
149278c8b60
1554492a260
hex327ab0c00

13550423040 has 1408 divisors, whose sum is σ = 64141516800. Its totient is φ = 2627665920.

The previous prime is 13550422987. The next prime is 13550423041. The reversal of 13550423040 is 4032405531.

13550423040 is a `hidden beast` number, since 1 + 3 + 550 + 42 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-2 number, since 2×135504230402 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13550422995 and 13550423013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13550423041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 202245087 + ... + 202245153.

Almost surely, 213550423040 is an apocalyptic number.

13550423040 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 13550423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32070758400).

13550423040 is an abundant number, since it is smaller than the sum of its proper divisors (50591093760).

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

13550423040 is a wasteful number, since it uses less digits than its factorization.

13550423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 13550423040 its reverse (4032405531), we get a palindrome (17582828571).

The spelling of 13550423040 in words is "thirteen billion, five hundred fifty million, four hundred twenty-three thousand, forty".