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7643372562225 = 3652204792
BaseRepresentation
bin110111100111001110010…
…0000011010011100110001
31000001200212202221111000000
41233032130200122130301
52000212111333442400
624131152240220213
71416133616546031
oct157163440323461
930050782844000
107643372562225
112487599604894
12a3540600a669
134359c7c7552a
141c5d269518c1
15d3c4d18b600
hex6f39c81a731

7643372562225 has 63 divisors (see below), whose sum is σ = 14210866353243. Its totient is φ = 4076266310640.

The previous prime is 7643372562211. The next prime is 7643372562239. The reversal of 7643372562225 is 5222652733467.

The square root of 7643372562225 is 2764665.

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

7643372562225 is a `hidden beast` number, since 7 + 6 + 4 + 3 + 3 + 7 + 2 + 5 + 622 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (7643372562211) and next prime (7643372562239).

It can be written as a sum of positive squares in only one way, i.e., 2751614122401 + 4891758439824 = 1658799^2 + 2211732^2 .

It is not a de Polignac number, because 7643372562225 - 25 = 7643372562193 is a prime.

It is a super-2 number, since 2×76433725622252 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 373219536 + ... + 373240014.

Almost surely, 27643372562225 is an apocalyptic number.

7643372562225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7643372562225 is the 2764665-th square number.

7643372562225 is the 1382333-rd centered octagonal number.

It is an amenable number.

7643372562225 is a deficient number, since it is larger than the sum of its proper divisors (6567493791018).

7643372562225 is an frugal number, since it uses more digits than its factorization.

7643372562225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40986 (or 20487 counting only the distinct ones).

The product of its digits is 25401600, while the sum is 54.

The spelling of 7643372562225 in words is "seven trillion, six hundred forty-three billion, three hundred seventy-two million, five hundred sixty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 1215 2025 3645 6075 18225 20479 61437 102395 184311 307185 511975 552933 921555 1535925 1658799 2764665 4607775 4976397 8293995 13823325 14929191 24881985 41469975 74645955 124409925 373229775 419389441 1258168323 2096947205 3774504969 6290841615 10484736025 11323514907 18872524845 31454208075 33970544721 56617574535 94362624225 101911634163 169852723605 283087872675 305734902489 509558170815 849263618025 1528674512445 2547790854075 7643372562225