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253522363225352 = 23133897518344367
BaseRepresentation
bin111001101001001111000110…
…011001110001010100001000
31020020122111112101121212101112
4321221033012121301110020
5231212202244441202402
62255110322115105452
7104254246333330214
oct7151170631612410
91206574471555345
10253522363225352
11738642597a9831
12245263ba5a2288
13ab60096818630
144686795439944
151e49a72501e52
hexe693c6671508

253522363225352 has 64 divisors (see below), whose sum is σ = 513919611878400. Its totient is φ = 116554104288000.

The previous prime is 253522363225289. The next prime is 253522363225379.

253522363225352 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 253522363225352.

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, 26210273 + ... + 34554639.

It is an arithmetic number, because the mean of its divisors is an integer number (8029993935600).

Almost surely, 2253522363225352 is an apocalyptic number.

It is an amenable number.

253522363225352 is an abundant number, since it is smaller than the sum of its proper divisors (260397248653048).

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

253522363225352 is a wasteful number, since it uses less digits than its factorization.

253522363225352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8345526 (or 8345522 counting only the distinct ones).

The product of its digits is 19440000, while the sum is 50.

The spelling of 253522363225352 in words is "two hundred fifty-three trillion, five hundred twenty-two billion, three hundred sixty-three million, two hundred twenty-five thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 26 52 104 389 751 778 1502 1556 3004 3112 5057 6008 9763 10114 19526 20228 39052 40456 78104 292139 584278 1168556 2337112 3797807 7595614 8344367 15191228 16688734 30382456 33377468 66754936 108476771 216953542 433907084 867814168 3245958763 6266619617 6491917526 12533239234 12983835052 25066478468 25967670104 42197463919 50132956936 81466055021 84394927838 162932110042 168789855676 325864220084 337579711352 651728440168 2437715031013 4875430062026 9750860124052 19501720248104 31690295403169 63380590806338 126761181612676 253522363225352