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48097761915025 = 52432322572
BaseRepresentation
bin10101110111110101000100…
…00000110111000010010001
320022022002201201121021000101
422323322202000313002101
522301013204022240100
6250143450133252401
713062643243451344
oct1273724200670221
9208262651537011
1048097761915025
1114364167770aa9
125489803194101
1320ab7a40c3a04
14bc3d3086645b
155861ee67a86a
hex2bbea2037091

48097761915025 has 27 divisors (see below), whose sum is σ = 61062378933681. Its totient is φ = 37582202327040.

The previous prime is 48097761915013. The next prime is 48097761915059. The reversal of 48097761915025 is 52051916779084.

The square root of 48097761915025 is 6935255.

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

48097761915025 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7067946590721 + 41029815324304 = 2658561^2 + 6405452^2 .

It is not a de Polignac number, because 48097761915025 - 213 = 48097761906833 is a prime.

It is a super-3 number, since 3×480977619150253 (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1491063697 + ... + 1491095953.

Almost surely, 248097761915025 is an apocalyptic number.

48097761915025 is the 6935255-th square number.

48097761915025 is the 3467628-th centered octagonal number.

It is an amenable number.

48097761915025 is a deficient number, since it is larger than the sum of its proper divisors (12964617018656).

48097761915025 is an frugal number, since it uses more digits than its factorization.

48097761915025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64610 (or 32305 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 64.

The spelling of 48097761915025 in words is "forty-eight trillion, ninety-seven billion, seven hundred sixty-one million, nine hundred fifteen thousand, twenty-five".

Divisors: 1 5 25 43 215 1075 1849 9245 32257 46225 161285 806425 1387051 6935255 34676275 59643193 298215965 1040514049 1491079825 5202570245 26012851225 44742104107 223710520535 1118552602675 1923910476601 9619552383005 48097761915025