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45281712025 = 52112532732
BaseRepresentation
bin101010001011000000…
…000001011110011001
311022212202112022022101
4222023000001132121
51220214104241100
632445132123401
73162060126064
oct521300013631
9138782468271
1045281712025
1118227389500
128938906561
1343683a7b54
142297c418db
1512a053886a
hexa8b001799

45281712025 has 81 divisors (see below), whose sum is σ = 63777817047. Its totient is φ = 31868179200.

The previous prime is 45281712017. The next prime is 45281712037. The reversal of 45281712025 is 52021718254.

It is a happy number.

The square root of 45281712025 is 212795.

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

It can be written as a sum of positive squares in 13 ways, for example, as 15744477529 + 29537234496 = 125477^2 + 171864^2 .

It is not a de Polignac number, because 45281712025 - 23 = 45281712017 is a prime.

It is a Duffinian 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, 620297389 + ... + 620297461.

Almost surely, 245281712025 is an apocalyptic number.

45281712025 is the 212795-th square number.

45281712025 is the 106398-th centered octagonal number.

It is an amenable number.

45281712025 is a deficient number, since it is larger than the sum of its proper divisors (18496105022).

45281712025 is an equidigital number, since it uses as much as digits as its factorization.

45281712025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 37.

The spelling of 45281712025 in words is "forty-five billion, two hundred eighty-one million, seven hundred twelve thousand, twenty-five".

Divisors: 1 5 11 25 53 55 73 121 265 275 365 583 605 803 1325 1825 2809 2915 3025 3869 4015 5329 6413 8833 14045 14575 19345 20075 26645 30899 32065 42559 44165 58619 70225 96725 133225 154495 160325 205057 212795 220825 282437 293095 339889 468149 644809 772475 1025285 1063975 1412185 1465475 1699445 2255627 2340745 3106807 3224045 5126425 7060925 8497225 11278135 11703725 14969161 15534035 16120225 24811897 34174877 56390675 74845805 77670175 124059485 164660771 170874385 374229025 620297425 823303855 854371925 1811268481 4116519275 9056342405 45281712025