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21152250323424 = 253211210150911807
BaseRepresentation
bin1001100111100111001000…
…10111011110000111100000
32202220010122200201201102100
410303303210113132013200
510233024302040322144
6112553113141250400
74312125324123603
oct463634427360740
982803580651370
1021152250323424
116815689962400
122457545a03a00
13ba58580cca3c
14531abac7233a
1526a342a39269
hex133ce45de1e0

21152250323424 has 432 divisors, whose sum is σ = 66908645032320. Its totient is φ = 6333305088000.

The previous prime is 21152250323329. The next prime is 21152250323429. The reversal of 21152250323424 is 42432305225112.

21152250323424 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 225 + 0 + 3 + 2 + 3 + 424 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21152250323429) 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 71 ways as a sum of consecutive naturals, for example, 1791494929 + ... + 1791506735.

It is an arithmetic number, because the mean of its divisors is an integer number (154881122760).

Almost surely, 221152250323424 is an apocalyptic number.

21152250323424 is a gapful number since it is divisible by the number (24) 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 21152250323424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33454322516160).

21152250323424 is an abundant number, since it is smaller than the sum of its proper divisors (45756394708896).

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

21152250323424 is a wasteful number, since it uses less digits than its factorization.

21152250323424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12455 (or 12433 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 21152250323424 its reverse (42432305225112), we get a palindrome (63584555548536).

The spelling of 21152250323424 in words is "twenty-one trillion, one hundred fifty-two billion, two hundred fifty million, three hundred twenty-three thousand, four hundred twenty-four".