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2402763507225 = 325223244932
BaseRepresentation
bin100010111101101111110…
…111011000011000011001
322111200221201102221012100
4202331233313120120121
5303331324424212400
65035451520434013
7335410501554324
oct42755767303031
98450851387170
102402763507225
118470083a6054
12329808778909
1314576c593593
1484419a977bb
154277c303100
hex22f6fdd8619

2402763507225 has 81 divisors (see below), whose sum is σ = 4499867081437. Its totient is φ = 1225484800320.

The previous prime is 2402763507217. The next prime is 2402763507239. The reversal of 2402763507225 is 5227053672042.

The square root of 2402763507225 is 1550085.

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

2402763507225 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 7 + 635 + 0 + 7 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 730045498329 + 1672718008896 = 854427^2 + 1293336^2 .

It is not a de Polignac number, because 2402763507225 - 23 = 2402763507217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 534777079 + ... + 534781571.

Almost surely, 22402763507225 is an apocalyptic number.

2402763507225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2402763507225 is the 1550085-th square number.

2402763507225 is the 775043-rd centered octagonal number.

It is an amenable number.

2402763507225 is a deficient number, since it is larger than the sum of its proper divisors (2097103574212).

2402763507225 is an frugal number, since it uses more digits than its factorization.

2402763507225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9048 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 2402763507225 in words is "two trillion, four hundred two billion, seven hundred sixty-three million, five hundred seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 207 225 345 529 575 1035 1587 1725 2645 4493 4761 5175 7935 13225 13479 22465 23805 39675 40437 67395 103339 112325 119025 202185 310017 336975 516695 930051 1010925 1550085 2376797 2583475 4650255 7130391 7750425 11883985 20187049 21391173 23251275 35651955 59419925 60561147 100935245 106955865 178259775 181683441 302805735 464302127 504676225 534779325 908417205 1392906381 1514028675 2321510635 4178719143 4542086025 6964531905 10678948921 11607553175 20893595715 32036846763 34822659525 53394744605 96110540289 104467978575 160184233815 266973723025 480552701445 800921169075 2402763507225