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1190204631225 = 325225722832
BaseRepresentation
bin10001010100011101101…
…110010110100010111001
311012210010101222211010100
4101110131232112202321
5124000014341144400
62310434503510013
7151663244304411
oct21243556264271
94183111884110
101190204631225
114198435385a5
12172805158309
138830b1167cc
144186b631641
1520e5ec9e100
hex1151db968b9

1190204631225 has 81 divisors (see below), whose sum is σ = 2147704881933. Its totient is φ = 630071562240.

The previous prime is 1190204631223. The next prime is 1190204631229. The reversal of 1190204631225 is 5221364020911.

The square root of 1190204631225 is 1090965.

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

1190204631225 is a `hidden beast` number, since 1 + 19 + 0 + 2 + 0 + 4 + 631 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 292478700969 + 897725930256 = 540813^2 + 947484^2 .

It is not a de Polignac number, because 1190204631225 - 21 = 1190204631223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1190204631225.

It is not an unprimeable number, because it can be changed into a prime (1190204631223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4205669934 + ... + 4205670216.

Almost surely, 21190204631225 is an apocalyptic number.

1190204631225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1190204631225 is the 1090965-th square number.

1190204631225 is the 545483-rd centered octagonal number.

It is an amenable number.

1190204631225 is a deficient number, since it is larger than the sum of its proper divisors (957500250708).

1190204631225 is an frugal number, since it uses more digits than its factorization.

1190204631225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 1190204631225 by its sum of digits (36), we get a square (42847366724100 = 65457902).

The spelling of 1190204631225 in words is "one trillion, one hundred ninety billion, two hundred four million, six hundred thirty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 257 283 771 849 1285 1415 2313 2547 3855 4245 6425 7075 11565 12735 19275 21225 57825 63675 66049 72731 80089 198147 218193 240267 330245 363655 400445 594441 654579 720801 990735 1090965 1201335 1651225 1818275 2002225 2972205 3272895 3604005 4953675 5454825 6006675 14861025 16364475 18020025 18691867 20582873 56075601 61748619 93459335 102914365 168226803 185245857 280378005 308743095 467296675 514571825 841134015 926229285 1401890025 1543715475 4205670075 4631146425 5289798361 15869395083 26448991805 47608185249 79346975415 132244959025 238040926245 396734877075 1190204631225