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10225448575 = 5217229371319
BaseRepresentation
bin10011000010111101…
…11111011001111111
3222101121222121102121
421201132333121333
5131420203323300
64410354503411
7511252610266
oct114136773177
928347877377
1010225448575
114377aa9951
121b94594b67
13c6c614bb4
146d008b5dd
153eca9281a
hex2617bf67f

10225448575 has 72 divisors (see below), whose sum is σ = 14321181600. Its totient is φ = 7227279360.

The previous prime is 10225448573. The next prime is 10225448581. The reversal of 10225448575 is 57584452201.

It is not a de Polignac number, because 10225448575 - 21 = 10225448573 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10225448573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7751766 + ... + 7753084.

It is an arithmetic number, because the mean of its divisors is an integer number (198905300).

Almost surely, 210225448575 is an apocalyptic number.

10225448575 is a deficient number, since it is larger than the sum of its proper divisors (4095733025).

10225448575 is a wasteful number, since it uses less digits than its factorization.

10225448575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 43.

The spelling of 10225448575 in words is "ten billion, two hundred twenty-five million, four hundred forty-eight thousand, five hundred seventy-five".

Divisors: 1 5 17 25 29 37 85 145 185 289 425 493 629 725 925 1073 1319 1445 2465 3145 5365 6595 7225 8381 10693 12325 15725 18241 22423 26825 32975 38251 41905 48803 53465 91205 112115 191255 209525 244015 267325 310097 381191 456025 560575 650267 829651 956275 1220075 1415287 1550485 1905955 3251335 4148255 7076435 7752425 9529775 11054539 14104067 16256675 20741275 24059879 35382175 55272695 70520335 120299395 276363475 352601675 409017943 601496975 2045089715 10225448575