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1643562460225 = 5272366292
BaseRepresentation
bin10111111010101011111…
…101001110010001000001
312211010022200201202012001
4113322223331032101001
5203412003442211400
63255013035304001
7226513003256200
oct27725375162101
95733280652161
101643562460225
11584038185634
122266498ab001
13bbcab07391a
1459798075237
152cb45c14a6a
hex17eabf4e441

1643562460225 has 27 divisors (see below), whose sum is σ = 2370819718857. Its totient is φ = 1126983490080.

The previous prime is 1643562460213. The next prime is 1643562460237. The reversal of 1643562460225 is 5220642653461.

The square root of 1643562460225 is 1282015.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1643562460213) and next prime (1643562460237).

It can be written as a sum of positive squares in 4 ways, for example, as 252276157441 + 1391286302784 = 502271^2 + 1179528^2 .

It is not a de Polignac number, because 1643562460225 - 235 = 1609202721857 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 44852211 + ... + 44888839.

Almost surely, 21643562460225 is an apocalyptic number.

1643562460225 is the 1282015-th square number.

1643562460225 is the 641008-th centered octagonal number.

It is an amenable number.

1643562460225 is a deficient number, since it is larger than the sum of its proper divisors (727257258632).

1643562460225 is an frugal number, since it uses more digits than its factorization.

1643562460225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73282 (or 36641 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 1643562460225 in words is "one trillion, six hundred forty-three billion, five hundred sixty-two million, four hundred sixty thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 36629 183145 256403 915725 1282015 1794821 6410075 8974105 44870525 1341683641 6708418205 9391785487 33542091025 46958927435 65742498409 234794637175 328712492045 1643562460225