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21438588583412 = 227211132193096757
BaseRepresentation
bin1001101111111100011110…
…11101001111110111110100
32210220111202002200110001122
410313332033131033313310
510302222212134132122
6113332430204043112
74341613132150400
oct467761735176764
983814662613048
1021438588583412
116916066397180
1224a2b37b33498
13bc685b725100
145418c17d0100
15272a00b30142
hex137f8f74fdf4

21438588583412 has 216 divisors, whose sum is σ = 54267834932640. Its totient is φ = 7304380312320.

The previous prime is 21438588583397. The next prime is 21438588583417.

21438588583412 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×214385885834122 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (62) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21438588583417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5374538 + ... + 8471294.

It is an arithmetic number, because the mean of its divisors is an integer number (251239976540).

Almost surely, 221438588583412 is an apocalyptic number.

21438588583412 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 21438588583412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27133917466320).

21438588583412 is an abundant number, since it is smaller than the sum of its proper divisors (32829246349228).

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

21438588583412 is a wasteful number, since it uses less digits than its factorization.

21438588583412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096831 (or 3096809 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 62.

The spelling of 21438588583412 in words is "twenty-one trillion, four hundred thirty-eight billion, five hundred eighty-eight million, five hundred eighty-three thousand, four hundred twelve".