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20423252441025 = 345272205827689
BaseRepresentation
bin1001010010011001010001…
…01101001111011111000001
32200022102222120121021020000
410221030220231033133001
510134103310111103100
6111234151310510213
74205350143302100
oct451145055173701
980272876537200
1020423252441025
1165644a862a545
12235a1b5b05369
13b51b9b099a05
145086c2662037
152563c7d06900
hex129328b4f7c1

20423252441025 has 90 divisors (see below), whose sum is σ = 44007400915830. Its totient is φ = 9336343927680.

The previous prime is 20423252441003. The next prime is 20423252441027. The reversal of 20423252441025 is 52014425232402.

20423252441025 is a `hidden beast` number, since 2 + 0 + 4 + 23 + 2 + 524 + 4 + 102 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 137272473009 + 20285979968016 = 370503^2 + 4503996^2 .

It is not a de Polignac number, because 20423252441025 - 25 = 20423252440993 is a prime.

It is a super-2 number, since 2×204232524410252 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20423252441027) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 102814620 + ... + 103013069.

It is an arithmetic number, because the mean of its divisors is an integer number (488971121287).

Almost surely, 220423252441025 is an apocalyptic number.

20423252441025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20423252441025 is an abundant number, since it is smaller than the sum of its proper divisors (23584148474805).

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

20423252441025 is a wasteful number, since it uses less digits than its factorization.

20423252441025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205827725 (or 205827704 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 20423252441025 its reverse (52014425232402), we get a palindrome (72437677673427).

The spelling of 20423252441025 in words is "twenty trillion, four hundred twenty-three billion, two hundred fifty-two million, four hundred forty-one thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 135 147 175 189 225 245 315 405 441 525 567 675 735 945 1225 1323 1575 2025 2205 2835 3675 3969 4725 6615 11025 14175 19845 33075 99225 205827689 617483067 1029138445 1440793823 1852449201 3087415335 4322381469 5145692225 5557347603 7203969115 9262246005 10085556761 12967144407 15437076675 16672042809 21611907345 27786738015 30256670283 36019845575 38901433221 46311230025 50427783805 64835722035 83360214045 90770010849 108059536725 116704299663 138933690075 151283351415 194507166105 252138919025 272310032547 324178610175 416801070225 453850054245 583521498315 756416757075 816930097641 972535830525 1361550162735 2269250271225 2917607491575 4084650488205 6807750813675 20423252441025