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350250412311225 = 32522965293822113
BaseRepresentation
bin100111110100011010000011…
…1011010001000001010111001
31200221010121112110001021210100
41033220310013122020022321
5331402000321022424400
63240530452414310013
7133526520504556416
oct11750640732101271
91627117473037710
10350250412311225
11a1667402816338
1233348a624b8309
131205861a448aca
14626c2d34dd10d
152a75c3c5ce100
hex13e8d076882b9

350250412311225 has 72 divisors (see below), whose sum is σ = 648980458228440. Its totient is φ = 180355851325440.

The previous prime is 350250412311223. The next prime is 350250412311227. The reversal of 350250412311225 is 522113214052053.

350250412311225 is a `hidden beast` number, since 3 + 5 + 0 + 2 + 5 + 0 + 412 + 3 + 11 + 225 = 666.

It is an interprime number because it is at equal distance from previous prime (350250412311223) and next prime (350250412311227).

It can be written as a sum of positive squares in 12 ways, for example, as 34319303959824 + 315931108351401 = 5858268^2 + 17774451^2 .

It is not a de Polignac number, because 350250412311225 - 21 = 350250412311223 is a prime.

It is a super-2 number, since 2×3502504123112252 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 350250412311225.

It is not an unprimeable number, because it can be changed into a prime (350250412311223) 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, 425625769 + ... + 426447881.

It is an arithmetic number, because the mean of its divisors is an integer number (9013617475395).

Almost surely, 2350250412311225 is an apocalyptic number.

It is an amenable number.

350250412311225 is a deficient number, since it is larger than the sum of its proper divisors (298730045917215).

350250412311225 is a wasteful number, since it uses less digits than its factorization.

350250412311225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887451 (or 887443 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 350250412311225 its reverse (522113214052053), we get a palindrome (872363626363278).

The spelling of 350250412311225 in words is "three hundred fifty trillion, two hundred fifty billion, four hundred twelve million, three hundred eleven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 29 45 75 87 145 225 261 435 725 1305 2175 6525 65293 195879 326465 587637 822113 979395 1632325 1893497 2466339 2938185 4110565 4896975 5680491 7399017 9467485 12331695 14690925 17041473 20552825 23841277 28402455 36995085 47337425 61658475 71523831 85207365 119206385 142012275 184975425 214571493 357619155 426036825 596031925 1072857465 1788095775 5364287325 53678224109 161034672327 268391120545 483104016981 805173361635 1341955602725 1556668499161 2415520084905 4025866808175 4670005497483 7783342495805 12077600424525 14010016492449 23350027487415 38916712479025 70050082462245 116750137437075 350250412311225