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49999960234225 = 5217241220292
BaseRepresentation
bin10110101111001100001011…
…10111100101100011110001
320120000221122012022221202101
423113212011313211203301
523023144404304443400
6254201355321020401
713350243424416661
oct1327460567454361
9216027565287671
1049999960234225
1114a27956068511
1257363b1624701
1321b8c8c40bc31
14c4c0222161a1
155ba93140756a
hex2d7985de58f1

49999960234225 has 81 divisors (see below), whose sum is σ = 67540385813961. Its totient is φ = 36710706739200.

The previous prime is 49999960234153. The next prime is 49999960234243. The reversal of 49999960234225 is 52243206999994.

The square root of 49999960234225 is 7071065.

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

It can be written as a sum of positive squares in 40 ways, for example, as 46019711791089 + 3980248443136 = 6783783^2 + 1995056^2 .

It is not a de Polignac number, because 49999960234225 - 211 = 49999960232177 is a prime.

It is a super-2 number, since 2×499999602342252 (a number of 28 digits) contains 22 as substring.

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, 24642660511 + ... + 24642662539.

Almost surely, 249999960234225 is an apocalyptic number.

49999960234225 is the 7071065-th square number.

49999960234225 is the 3535533-rd centered octagonal number.

It is an amenable number.

49999960234225 is a deficient number, since it is larger than the sum of its proper divisors (17540425579736).

49999960234225 is an frugal number, since it uses more digits than its factorization.

49999960234225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4184 (or 2092 counting only the distinct ones).

The product of its (nonzero) digits is 680244480, while the sum is 73.

The spelling of 49999960234225 in words is "forty-nine trillion, nine hundred ninety-nine billion, nine hundred sixty million, two hundred thirty-four thousand, two hundred twenty-five".

Divisors: 1 5 17 25 41 85 205 289 425 697 1025 1445 1681 2029 3485 7225 8405 10145 11849 17425 28577 34493 42025 50725 59245 83189 142885 172465 296225 415945 485809 586381 714425 862325 1414213 2079725 2429045 2931905 3410749 4116841 7071065 12145225 14659525 17053745 20584205 24041621 35355325 57982733 69986297 85268725 102921025 120208105 168790481 289913665 349931485 601040525 843952405 985706461 1189767049 1449568325 1749657425 2869438177 4219762025 4928532305 5948835245 6920409721 14347190885 24642661525 29744176225 34602048605 48780449009 71735954425 117646965257 173010243025 243902245045 588234826285 1219511225225 1999998409369 2941174131425 9999992046845 49999960234225