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11505426413 = 13172373101307
BaseRepresentation
bin10101011011100011…
…01101111111101101
31002200211111012221012
422231301231333231
5142030342121123
65141401115005
7555054340145
oct125561557755
932624435835
1011505426413
114974571178
122291188a65
13111485c630
147b2079925
1547512a378
hex2adc6dfed

11505426413 has 64 divisors (see below), whose sum is σ = 14060293632. Its totient is φ = 9306316800.

The previous prime is 11505426403. The next prime is 11505426419. The reversal of 11505426413 is 31462450511.

It is not a de Polignac number, because 11505426413 - 226 = 11438317549 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 11505426413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11505426419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37476806 + ... + 37477112.

It is an arithmetic number, because the mean of its divisors is an integer number (219692088).

Almost surely, 211505426413 is an apocalyptic number.

11505426413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11505426413 is a deficient number, since it is larger than the sum of its proper divisors (2554867219).

11505426413 is a wasteful number, since it uses less digits than its factorization.

11505426413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534.

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 11505426413 its reverse (31462450511), we get a palindrome (42967876924).

The spelling of 11505426413 in words is "eleven billion, five hundred five million, four hundred twenty-six thousand, four hundred thirteen".

Divisors: 1 13 17 23 73 101 221 299 307 391 949 1241 1313 1679 1717 2323 3991 5083 5219 7061 7373 16133 21827 22321 22411 28543 30199 31007 39491 67847 91793 95849 120037 125341 169579 291343 371059 380987 403091 513383 515453 527119 713161 1560481 1629433 2204527 2263511 2882843 4952831 6700889 6852547 8762701 9271093 12123737 29425643 37476959 38479687 52060753 113915113 157608581 500235931 676789789 885032801 11505426413