Search a number
-
+
468482926489641 = 32721762489385953
BaseRepresentation
bin110101010000101010010111…
…0011010101011000000101001
32021102202112022122102120001100
41222201110232122223000221
5442401111013140132031
64340214030232112013
7200451526435341600
oct15241245632530051
92242675278376040
10468482926489641
11126300547751398
1244663168235609
131715399a84a4bb
1483989a20aaa37
1539264b18d1de6
hex1aa152e6ab029

468482926489641 has 36 divisors (see below), whose sum is σ = 833483429854452. Its totient is φ = 251957204158464.

The previous prime is 468482926489637. The next prime is 468482926489657. The reversal of 468482926489641 is 146984629284864.

468482926489641 is a `hidden beast` number, since 4 + 6 + 8 + 4 + 8 + 2 + 92 + 6 + 489 + 6 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 212768286923241 + 255714639566400 = 14586579^2 + 15991080^2 .

It is not a de Polignac number, because 468482926489641 - 22 = 468482926489637 is a prime.

It is not an unprimeable number, because it can be changed into a prime (468482926489141) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31244685480 + ... + 31244700473.

It is an arithmetic number, because the mean of its divisors is an integer number (23152317495957).

Almost surely, 2468482926489641 is an apocalyptic number.

It is an amenable number.

468482926489641 is a deficient number, since it is larger than the sum of its proper divisors (365000503364811).

468482926489641 is a wasteful number, since it uses less digits than its factorization.

468482926489641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62489385990 (or 62489385980 counting only the distinct ones).

The product of its digits is 9172942848, while the sum is 81.

The spelling of 468482926489641 in words is "four hundred sixty-eight trillion, four hundred eighty-two billion, nine hundred twenty-six million, four hundred eighty-nine thousand, six hundred forty-one".

Divisors: 1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 1071 2499 7497 62489385953 187468157859 437425701671 562404473577 1062319561201 1312277105013 3061979911697 3186958683603 3936831315039 7436236928407 9185939735091 9560876050809 22308710785221 27557819205273 52053658498849 66926132355663 156160975496547 468482926489641