Search a number
-
+
4897718660241 = 3211219923372
BaseRepresentation
bin100011101000101011011…
…0001111110110010010001
3122100012212102201201100100
41013101112301332302101
51120221011434111431
614225551512243013
71013564014501251
oct107212661766221
918305772651310
104897718660241
111619124556100
126712640a0469
13296b11a44054
1412d09d753961
158760309e4e6
hex47456c7ec91

4897718660241 has 81 divisors (see below), whose sum is σ = 7838616024603. Its totient is φ = 2944634394240.

The previous prime is 4897718660221. The next prime is 4897718660269. The reversal of 4897718660241 is 1420668177984.

The square root of 4897718660241 is 2213079.

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

4897718660241 is a `hidden beast` number, since 4 + 8 + 9 + 7 + 7 + 18 + 6 + 602 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1320718100625 + 3577000559616 = 1149225^2 + 1891296^2 .

It is not a de Polignac number, because 4897718660241 - 217 = 4897718529169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4897718660201) 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, 14533289625 + ... + 14533289961.

Almost surely, 24897718660241 is an apocalyptic number.

4897718660241 is the 2213079-th square number.

4897718660241 is the 1106540-th centered octagonal number.

It is an amenable number.

4897718660241 is a deficient number, since it is larger than the sum of its proper divisors (2940897364362).

4897718660241 is an equidigital number, since it uses as much as digits as its factorization.

4897718660241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 4897718660241 in words is "four trillion, eight hundred ninety-seven billion, seven hundred eighteen million, six hundred sixty thousand, two hundred forty-one".

Divisors: 1 3 9 11 33 99 121 199 337 363 597 1011 1089 1791 2189 3033 3707 6567 11121 19701 24079 33363 39601 40777 67063 72237 113569 118803 122331 201189 216711 340707 356409 366993 435611 603567 737693 1022121 1249259 1306833 2213079 3747777 3920499 4791721 6639237 8114623 11243331 13345537 13741849 14375163 22600231 24343869 40036611 41225547 43125489 67800693 73031607 120109833 123676641 146800907 203402079 248602541 440402721 745807623 1321208163 1614809977 2237422869 2734627951 4497445969 4844429931 8203883853 13492337907 14533289793 24611651559 40477013721 49471905659 148415716977 445247150931 544190962249 1632572886747 4897718660241