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245022330214125 = 32537732473113933
BaseRepresentation
bin110111101101100010110100…
…111101000101011011101101
31012010112220110110220121101200
4313231202310331011123231
5224103421213013323000
62225041412104200113
7102416164521001542
oct6755426475053355
91163486413817350
10245022330214125
11710874287612a2
1223592b76769039
13a694677cb8c49
144471203422bc9
151d4d8d6ad7500
hexded8b4f456ed

245022330214125 has 96 divisors (see below), whose sum is σ = 442447709869152. Its totient is φ = 130455603532800.

The previous prime is 245022330214121. The next prime is 245022330214157. The reversal of 245022330214125 is 521412033220542.

245022330214125 is a `hidden beast` number, since 2 + 4 + 5 + 0 + 2 + 233 + 0 + 2 + 1 + 412 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 181612117133316 + 63410213080809 = 13476354^2 + 7963053^2 .

It is not a de Polignac number, because 245022330214125 - 22 = 245022330214121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 245022330214125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245022330214121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2150525659 + ... + 2150639591.

It is an arithmetic number, because the mean of its divisors is an integer number (4608830311137).

Almost surely, 2245022330214125 is an apocalyptic number.

245022330214125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

245022330214125 is a deficient number, since it is larger than the sum of its proper divisors (197425379655027).

245022330214125 is a wasteful number, since it uses less digits than its factorization.

245022330214125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117200 (or 117187 counting only the distinct ones).

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

Adding to 245022330214125 its reverse (521412033220542), we get a palindrome (766434363434667).

The spelling of 245022330214125 in words is "two hundred forty-five trillion, twenty-two billion, three hundred thirty million, two hundred fourteen thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 773 1125 2319 2473 3865 6957 7419 11595 12365 19325 22257 34785 37095 57975 61825 96625 111285 113933 173925 185475 289875 309125 341799 556425 569665 869625 927375 1025397 1708995 1911629 2782125 2848325 5126985 5734887 8544975 9558145 14241625 17204661 25634925 28674435 42724875 47790725 86023305 88070209 128174625 143372175 238953625 264210627 281756309 430116525 440351045 716860875 792631881 845268927 1321053135 1408781545 2150582625 2201755225 2535806781 3963159405 4226344635 6605265675 7043907725 11008776125 12679033905 19815797025 21131723175 33026328375 35219538625 63395169525 99078985125 105658615875 217797626857 316975847625 653392880571 1088988134285 1960178641713 3266964402855 5444940671425 9800893208565 16334822014275 27224703357125 49004466042825 81674110071375 245022330214125