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21363236312 = 2311228178539
BaseRepresentation
bin10011111001010110…
…010001110111011000
32001010211200211220112
4103321112101313120
5322222442030222
613451504143452
71354254340535
oct237126216730
961124624815
1021363236312
119072a98700
124182607b88
132025c53942
141069387d8c
1585079cbe2
hex4f9591dd8

21363236312 has 48 divisors (see below), whose sum is σ = 44185818600. Its totient is φ = 9675881600.

The previous prime is 21363236311. The next prime is 21363236317.

21363236312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213632363122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21363236311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232739 + ... + 311277.

Almost surely, 221363236312 is an apocalyptic number.

21363236312 is a gapful number since it is divisible by the number (22) 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 21363236312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22092909300).

21363236312 is an abundant number, since it is smaller than the sum of its proper divisors (22822582288).

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

21363236312 is a wasteful number, since it uses less digits than its factorization.

21363236312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78848 (or 78833 counting only the distinct ones).

The product of its digits is 23328, while the sum is 32.

The spelling of 21363236312 in words is "twenty-one billion, three hundred sixty-three million, two hundred thirty-six thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 121 242 281 484 562 968 1124 2248 3091 6182 12364 24728 34001 68002 78539 136004 157078 272008 314156 628312 863929 1727858 3455716 6911432 9503219 19006438 22069459 38012876 44138918 76025752 88277836 176555672 242764049 485528098 971056196 1942112392 2670404539 5340809078 10681618156 21363236312