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20405250554424 = 23319431607647579
BaseRepresentation
bin1001010001110111101111…
…01101011111101000111000
32200020201111222212200021020
410220323313231133220320
510133304423120220144
6111222013115542440
74204142062631511
oct450736755375070
980221458780236
1020405250554424
1165578aaa7970a
12235681115aa20
13b5028c6587c8
145078958a3a08
15255bc26c9419
hex128ef7b5fa38

20405250554424 has 128 divisors (see below), whose sum is σ = 54981096192000. Its totient is φ = 6289982100864.

The previous prime is 20405250554419. The next prime is 20405250554459. The reversal of 20405250554424 is 42445505250402.

It is a happy number.

20405250554424 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31186267 + ... + 31833845.

It is an arithmetic number, because the mean of its divisors is an integer number (429539814000).

Almost surely, 220405250554424 is an apocalyptic number.

20405250554424 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 20405250554424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27490548096000).

20405250554424 is an abundant number, since it is smaller than the sum of its proper divisors (34575845637576).

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

20405250554424 is a wasteful number, since it uses less digits than its factorization.

20405250554424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649257 (or 649253 counting only the distinct ones).

The product of its (nonzero) digits is 1280000, while the sum is 42.

The spelling of 20405250554424 in words is "twenty trillion, four hundred five billion, two hundred fifty million, five hundred fifty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 43 57 76 86 114 129 152 172 228 258 344 456 516 817 1032 1607 1634 2451 3214 3268 4821 4902 6428 6536 9642 9804 12856 19284 19608 30533 38568 61066 69101 91599 122132 138202 183198 207303 244264 276404 366396 414606 552808 647579 732792 829212 1295158 1312919 1658424 1942737 2590316 2625838 3885474 3938757 5180632 5251676 7770948 7877514 10503352 12304001 15541896 15755028 24608002 27845897 31510056 36912003 49216004 55691794 73824006 83537691 98432008 111383588 147648012 167075382 222767176 295296024 334150764 529072043 668301528 1040659453 1058144086 1587216129 2081318906 2116288172 3121978359 3174432258 4162637812 4232576344 6243956718 6348864516 8325275624 12487913436 12697729032 19772529607 24975826872 39545059214 44748356479 59317588821 79090118428 89496712958 118635177642 134245069437 158180236856 178993425916 237270355284 268490138874 357986851832 474540710568 536980277748 850218773101 1073960555496 1700437546202 2550656319303 3400875092404 5101312638606 6801750184808 10202625277212 20405250554424