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20554532240224 = 2531173293408773
BaseRepresentation
bin1001010110001101110011…
…00101111011101101100000
32200202222211200201001022011
410223012321211323231200
510143231140223141344
6111414342144322304
74221005320213333
oct453067145735540
980688750631264
1020554532240224
116605145659764
12237b733313394
13b61390155878
14510bb7ab061a
15259a0d1b9d34
hex12b1b997bb60

20554532240224 has 96 divisors (see below), whose sum is σ = 42157065371904. Its totient is φ = 9854479165440.

The previous prime is 20554532240161. The next prime is 20554532240233. The reversal of 20554532240224 is 42204223545502.

It is a super-2 number, since 2×205545322402242 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50079102 + ... + 50487874.

It is an arithmetic number, because the mean of its divisors is an integer number (439136097624).

Almost surely, 220554532240224 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 20554532240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21078532685952).

20554532240224 is an abundant number, since it is smaller than the sum of its proper divisors (21602533131680).

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

20554532240224 is a wasteful number, since it uses less digits than its factorization.

20554532240224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409280 (or 409272 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 40.

Adding to 20554532240224 its reverse (42204223545502), we get a palindrome (62758755785726).

The spelling of 20554532240224 in words is "twenty trillion, five hundred fifty-four billion, five hundred thirty-two million, two hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 124 173 248 293 346 496 586 692 992 1172 1384 2344 2768 4688 5363 5536 9083 9376 10726 18166 21452 36332 42904 50689 72664 85808 101378 145328 171616 202756 290656 405512 408773 811024 817546 1571359 1622048 1635092 3142718 3270184 6285436 6540368 12570872 12671963 13080736 25141744 25343926 50283488 50687852 70717729 101375704 119770489 141435458 202751408 239540978 282870916 405502816 479081956 565741832 958163912 1131483664 1916327824 2192249599 2262967328 3712885159 3832655648 4384499198 7425770318 8768998396 14851540636 17537996792 20720294597 29703081272 35075993584 41440589194 59406162544 70151987168 82881178388 118812325088 165762356776 331524713552 642329132507 663049427104 1284658265014 2569316530028 5138633060056 10277266120112 20554532240224