Search a number
-
+
10063532502441 = 3211593634347407
BaseRepresentation
bin1001001001110001100101…
…0001111010110110101001
31022122001201212211202221100
42102130121101322312221
52304340103310034231
633223042323032013
72056031500612035
oct222343121726651
938561655752840
1010063532502441
11322aa13818490
12116646880b609
1357ccaa6c2032
1426b112c011c5
15126b978731e6
hex9271947ada9

10063532502441 has 48 divisors (see below), whose sum is σ = 16127245854720. Its totient is φ = 5995444404960.

The previous prime is 10063532502421. The next prime is 10063532502461. The reversal of 10063532502441 is 14420523536001.

10063532502441 is a `hidden beast` number, since 1 + 0 + 0 + 63 + 53 + 2 + 502 + 4 + 41 = 666.

10063532502441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10063532502421) and next prime (10063532502461).

It is not a de Polignac number, because 10063532502441 - 219 = 10063531978153 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10063532502396 and 10063532502405.

It is not an unprimeable number, because it can be changed into a prime (10063532502421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212255760 + ... + 212303166.

It is an arithmetic number, because the mean of its divisors is an integer number (335984288640).

Almost surely, 210063532502441 is an apocalyptic number.

10063532502441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10063532502441 is a deficient number, since it is larger than the sum of its proper divisors (6063713352279).

10063532502441 is a wasteful number, since it uses less digits than its factorization.

10063532502441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83826 (or 83823 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 10063532502441 in words is "ten trillion, sixty-three billion, five hundred thirty-two million, five hundred two thousand, four hundred forty-one".

Divisors: 1 3 9 11 33 59 99 177 531 649 1947 5841 36343 47407 109029 142221 327087 399773 426663 521477 1199319 1564431 2144237 2797013 3597957 4693293 6432711 8391039 19298133 23586607 25173117 30767143 70759821 92301429 212279463 276904287 1722912601 5168737803 15506213409 18952038611 56856115833 101651843459 170568347499 304955530377 914866591131 1118170278049 3354510834147 10063532502441