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11363612052 = 22313216193461
BaseRepresentation
bin10101001010101001…
…01111010110010100
31002022221122022012110
422211110233112110
5141233041041202
65115333351020
7551413052202
oct124524572624
932287568173
1011363612052
11490150aa21
122251798470
1310c1368500
1479b2c2072
1546796626c
hex2a552f594

11363612052 has 72 divisors (see below), whose sum is σ = 28737646560. Its totient is φ = 3493326720.

The previous prime is 11363612033. The next prime is 11363612053. The reversal of 11363612052 is 25021636311.

11363612052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11363612053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3281602 + ... + 3285062.

It is an arithmetic number, because the mean of its divisors is an integer number (399133980).

Almost surely, 211363612052 is an apocalyptic number.

11363612052 is a gapful number since it is divisible by the number (12) 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 11363612052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14368823280).

11363612052 is an abundant number, since it is smaller than the sum of its proper divisors (17374034508).

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

11363612052 is a wasteful number, since it uses less digits than its factorization.

11363612052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5113 (or 5098 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 11363612052 in words is "eleven billion, three hundred sixty-three million, six hundred twelve thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 1619 2028 3238 3461 4857 6476 6922 9714 10383 13844 19428 20766 21047 41532 42094 44993 63141 84188 89986 126282 134979 179972 252564 269958 273611 539916 547222 584909 820833 1094444 1169818 1641666 1754727 2339636 3283332 3509454 5603359 7018908 11206718 16810077 22413436 33620154 67240308 72843667 145687334 218531001 291374668 437062002 874124004 946967671 1893935342 2840903013 3787870684 5681806026 11363612052