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94108721931225 = 385217214092
BaseRepresentation
bin10101011001011101100100…
…111100001110001111011001
3110100012201001122021100000000
4111121131210330032033121
544313334130303244400
6532052541112003213
725552062600612351
oct2531354474161731
9410181048240000
1094108721931225
1127a93315136951
12a67aa98690509
134068550586541
141934c5a593b61
15ad2eb5622600
hex559764f0e3d9

94108721931225 has 243 divisors, whose sum is σ = 186067115688727. Its totient is φ = 47205361336320.

The previous prime is 94108721931149. The next prime is 94108721931227. The reversal of 94108721931225 is 52213912780149.

The square root of 94108721931225 is 9700965.

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

94108721931225 is a `hidden beast` number, since 9 + 4 + 10 + 87 + 219 + 312 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 87575401897929 + 6533320033296 = 9358173^2 + 2556036^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 94108721931225 - 27 = 94108721931097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (94108721931227) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 66791143321 + ... + 66791144729.

Almost surely, 294108721931225 is an apocalyptic number.

94108721931225 is the 9700965-th square number.

94108721931225 is the 4850483-rd centered octagonal number.

It is an amenable number.

94108721931225 is a deficient number, since it is larger than the sum of its proper divisors (91958393757502).

94108721931225 is an frugal number, since it uses more digits than its factorization.

94108721931225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 94108721931225 in words is "ninety-four trillion, one hundred eight billion, seven hundred twenty-one million, nine hundred thirty-one thousand, two hundred twenty-five".