Search a number
-
+
92134945703025 = 3252227228192
BaseRepresentation
bin10100111100101111010110…
…101101011100010001110001
3110002020000101210002010011100
4110330233112231130101301
544034014332044444100
6523542113145235013
725256346562522431
oct2474572655342161
9402200353063140
1092134945703025
11273a2235994a45
12a400452a92a69
133c54398c54004
1418a74d88082c1
15a9b99499b400
hex53cbd6b5c471

92134945703025 has 81 divisors (see below), whose sum is σ = 165812924918251. Its totient is φ = 48904813498080.

The previous prime is 92134945703023. The next prime is 92134945703029. The reversal of 92134945703025 is 52030754943129.

It is a happy number.

The square root of 92134945703025 is 9598695.

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

92134945703025 is a `hidden beast` number, since 9 + 2 + 1 + 3 + 49 + 4 + 570 + 3 + 0 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33168580453089 + 58966365249936 = 5759217^2 + 7678956^2 .

It is not a de Polignac number, because 92134945703025 - 21 = 92134945703023 is a prime.

It is a super-2 number, since 2×921349457030252 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (92134945703023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 32683555066 + ... + 32683557884.

Almost surely, 292134945703025 is an apocalyptic number.

92134945703025 is the 9598695-th square number.

92134945703025 is the 4799348-th centered octagonal number.

It is an amenable number.

92134945703025 is a deficient number, since it is larger than the sum of its proper divisors (73677979215226).

92134945703025 is an frugal number, since it uses more digits than its factorization.

92134945703025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6108 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 92134945703025 in words is "ninety-two trillion, one hundred thirty-four billion, nine hundred forty-five million, seven hundred three thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 227 681 1135 2043 2819 3405 5675 8457 10215 14095 17025 25371 42285 51075 51529 70475 126855 154587 211425 257645 463761 634275 639913 772935 1288225 1919739 2318805 3199565 3864675 5759217 7946761 9598695 11594025 15997825 23840283 28796085 39733805 47993475 71520849 119201415 143980425 145260251 198669025 357604245 435780753 596007075 726301255 1307342259 1788021225 1803914747 2178903765 3631506275 5411744241 6536711295 9019573735 10894518825 16235232723 27058721205 32683556475 45097868675 81176163615 135293606025 405880818075 409488647569 1228465942707 2047443237845 3685397828121 6142329713535 10237216189225 18426989140605 30711648567675 92134945703025