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21446264412 = 22327313759567
BaseRepresentation
bin10011111110010011…
…000000011001011100
32001100121221010001100
4103332103000121130
5322410220430122
613504031513100
71356313145136
oct237623003134
961317833040
1021446264412
119105947971
1241a6388790
13203a2043b1
1410763dc056
15857bedaac
hex4fe4c065c

21446264412 has 72 divisors (see below), whose sum is σ = 55356065856. Its totient is φ = 6999243264.

The previous prime is 21446264393. The next prime is 21446264449.

21446264412 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 6 + 2 + 644 + 1 + 2 = 666.

21446264412 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 330253 + ... + 389819.

It is an arithmetic number, because the mean of its divisors is an integer number (768834248).

Almost surely, 221446264412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21446264412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27678032928).

21446264412 is an abundant number, since it is smaller than the sum of its proper divisors (33909801444).

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

21446264412 is a wasteful number, since it uses less digits than its factorization.

21446264412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59787 (or 59782 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 21446264412 in words is "twenty-one billion, four hundred forty-six million, two hundred sixty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 73 137 146 219 274 292 411 438 548 657 822 876 1233 1314 1644 2466 2628 4932 10001 20002 30003 40004 59567 60006 90009 119134 120012 178701 180018 238268 357402 360036 536103 714804 1072206 2144412 4348391 8160679 8696782 13045173 16321358 17393564 24482037 26090346 32642716 39135519 48964074 52180692 73446111 78271038 97928148 146892222 156542076 293784444 595729567 1191459134 1787188701 2382918268 3574377402 5361566103 7148754804 10723132206 21446264412