Search a number
-
+
5461605264820 = 2255313737609181
BaseRepresentation
bin100111101111010000100…
…0010101010110110110100
3201100010100122212012111211
41033132201002222312310
51203440331421433240
615341005443211204
71102405445526205
oct117364102526664
921303318765454
105461605264820
111816287874161
127425b4676b04
133080478b9a13
1414c4b36a35ac
159710775bbea
hex4f7a10aadb4

5461605264820 has 48 divisors (see below), whose sum is σ = 11771072219088. Its totient is φ = 2127776967680.

The previous prime is 5461605264803. The next prime is 5461605264853. The reversal of 5461605264820 is 284625061645.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 230788003216 + 5230817261604 = 480404^2 + 2287098^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18659371 + ... + 18949810.

It is an arithmetic number, because the mean of its divisors is an integer number (245230671231).

Almost surely, 25461605264820 is an apocalyptic number.

It is an amenable number.

5461605264820 is an abundant number, since it is smaller than the sum of its proper divisors (6309466954268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5461605264820 is a wasteful number, since it uses less digits than its factorization.

5461605264820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37609380 (or 37609378 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 49.

The spelling of 5461605264820 in words is "five trillion, four hundred sixty-one billion, six hundred five million, two hundred sixty-four thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 137 212 265 274 530 548 685 1060 1370 2740 7261 14522 29044 36305 72610 145220 37609181 75218362 150436724 188045905 376091810 752183620 1993286593 3986573186 5152457797 7973146372 9966432965 10304915594 19932865930 20609831188 25762288985 39865731860 51524577970 103049155940 273080263241 546160526482 1092321052964 1365401316205 2730802632410 5461605264820