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4921675695225 = 3252131211292
BaseRepresentation
bin100011110011110101010…
…1110110100010001111001
3122102111201001010012010100
41013213222232310101321
51121114042434221400
614244553034510013
71015402466104302
oct107475256642171
918374631105110
104921675695225
1116282a8693073
12675a2b295309
1329915c1790b3
141302d33a77a9
1588056405100
hex479eabb4479

4921675695225 has 81 divisors (see below), whose sum is σ = 8890948884909. Its totient is φ = 2602549123200.

The previous prime is 4921675695197. The next prime is 4921675695247. The reversal of 4921675695225 is 5225965761294.

The square root of 4921675695225 is 2218485.

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

4921675695225 is a `hidden beast` number, since 4 + 9 + 2 + 1 + 67 + 569 + 5 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1715756797161 + 3205918898064 = 1309869^2 + 1790508^2 .

It is not a de Polignac number, because 4921675695225 - 29 = 4921675694713 is a prime.

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, 4359322461 + ... + 4359323589.

Almost surely, 24921675695225 is an apocalyptic number.

4921675695225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4921675695225 is the 2218485-th square number.

4921675695225 is the 1109243-rd centered octagonal number.

It is an amenable number.

4921675695225 is a deficient number, since it is larger than the sum of its proper divisors (3969273189684).

4921675695225 is an equidigital number, since it uses as much as digits as its factorization.

4921675695225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 1268 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

It can be divided in two parts, 4921675 and 695225, that added together give a square (5616900 = 23702).

The spelling of 4921675695225 in words is "four trillion, nine hundred twenty-one billion, six hundred seventy-five million, six hundred ninety-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 131 225 393 655 1129 1179 1965 3275 3387 5645 5895 9825 10161 16935 17161 28225 29475 50805 51483 84675 85805 147899 154449 254025 257415 429025 443697 739495 772245 1274641 1287075 1331091 2218485 3697475 3823923 3861225 6373205 6655455 11092425 11471769 19119615 19374769 31866025 33277275 57358845 58124307 95598075 96873845 166977971 174372921 286794225 290621535 484369225 500933913 834889855 871864605 1453107675 1502801739 2504669565 4174449275 4359323025 7514008695 12523347825 21874114201 37570043475 65622342603 109370571005 196867027809 328111713015 546852855025 984335139045 1640558565075 4921675695225