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4250132712225 = 3652152712
BaseRepresentation
bin111101110110001111101…
…001101000101100100001
3120001022100001112001000000
4331312033221220230201
51024113232433242400
613012252314050213
7616030151661021
oct75661751505441
916038301461000
104250132712225
11139952012a544
12587854a19969
1324aa2a51276a
141099c9619a81
157585078b600
hex3dd8fa68b21

4250132712225 has 63 divisors (see below), whose sum is σ = 7902149652579. Its totient is φ = 2266589012400.

The previous prime is 4250132712187. The next prime is 4250132712263. The reversal of 4250132712225 is 5222172310524.

The square root of 4250132712225 is 2061585.

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

4250132712225 is a `hidden beast` number, since 4 + 2 + 501 + 3 + 2 + 7 + 122 + 25 = 666.

It is an interprime number because it is at equal distance from previous prime (4250132712187) and next prime (4250132712263).

It can be written as a sum of positive squares in only one way, i.e., 1530047776401 + 2720084935824 = 1236951^2 + 1649268^2 .

It is not a de Polignac number, because 4250132712225 - 237 = 4112693758753 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4250132712225.

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 62 ways as a sum of consecutive naturals, for example, 278306340 + ... + 278321610.

Almost surely, 24250132712225 is an apocalyptic number.

4250132712225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4250132712225 is the 2061585-th square number.

4250132712225 is the 1030793-rd centered octagonal number.

It is an amenable number.

4250132712225 is a deficient number, since it is larger than the sum of its proper divisors (3652016940354).

4250132712225 is an frugal number, since it uses more digits than its factorization.

4250132712225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30570 (or 15279 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

Multiplying 4250132712225 by its sum of digits (36), we get a square (153004777640100 = 123695102).

The spelling of 4250132712225 in words is "four trillion, two hundred fifty billion, one hundred thirty-two million, seven hundred twelve 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 15271 18225 45813 76355 137439 229065 381775 412317 687195 1145325 1236951 2061585 3435975 3710853 6184755 10307925 11132559 18554265 30923775 55662795 92771325 233203441 278313975 699610323 1166017205 2098830969 3498051615 5830086025 6296492907 10494154845 17490258075 18889478721 31482464535 52470774225 56668436163 94447393605 157412322675 170005308489 283342180815 472236968025 850026542445 1416710904075 4250132712225