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21225734374350 = 23521123183454513
BaseRepresentation
bin1001101001110000000000…
…10110111000001111001110
32210011011022220221021200010
410310320000112320033032
510240230300444434400
6113050545011414050
74320336325215252
oct464700026701716
983134286837603
1021225734374350
116843868778500
1224698335b4326
13bac7692bb38c
1453548c494262
1526c1e3e56450
hex134e005b83ce

21225734374350 has 288 divisors, whose sum is σ = 60446493176832. Its totient is φ = 4919637888000.

The previous prime is 21225734374337. The next prime is 21225734374357. The reversal of 21225734374350 is 5347343752212.

It is a self number, because there is not a number n which added to its sum of digits gives 21225734374350.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21225734374357) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46472694 + ... + 46927206.

It is an arithmetic number, because the mean of its divisors is an integer number (209883656864).

Almost surely, 221225734374350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21225734374350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30223246588416).

21225734374350 is an abundant number, since it is smaller than the sum of its proper divisors (39220758802482).

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

21225734374350 is a wasteful number, since it uses less digits than its factorization.

21225734374350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454664 (or 454648 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 48.

The spelling of 21225734374350 in words is "twenty-one trillion, two hundred twenty-five billion, seven hundred thirty-four million, three hundred seventy-four thousand, three hundred fifty".