Search a number
-
+
21621212343252 = 2232710898448413
BaseRepresentation
bin1001110101010000101001…
…01011100110101111010100
32211112222010110111200011200
410322220110223212233110
510313220220324441002
6113552351533032500
74361036540410164
oct472502453465724
984488113450150
1021621212343252
116986560781a15
122512404325730
13c0ab43b0b172
1454a687c545a4
1527763d85db1c
hex13aa14ae6bd4

21621212343252 has 36 divisors (see below), whose sum is σ = 54654395364660. Its totient is φ = 7206968547072.

The previous prime is 21621212343233. The next prime is 21621212343253. The reversal of 21621212343252 is 25234321212612.

21621212343252 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 1 + 212 + 3 + 432 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3421893226896 + 18199319116356 = 1849836^2 + 4266066^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21621212343253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1665003 + ... + 6783410.

Almost surely, 221621212343252 is an apocalyptic number.

It is an amenable number.

21621212343252 is an abundant number, since it is smaller than the sum of its proper divisors (33033183021408).

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

21621212343252 is a wasteful number, since it uses less digits than its factorization.

21621212343252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8519512 (or 8519507 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 21621212343252 its reverse (25234321212612), we get a palindrome (46855533555864).

The spelling of 21621212343252 in words is "twenty-one trillion, six hundred twenty-one billion, two hundred twelve million, three hundred forty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 71089 142178 213267 284356 426534 639801 853068 1279602 2559204 8448413 16896826 25345239 33793652 50690478 76035717 101380956 152071434 304142868 600589231757 1201178463514 1801767695271 2402356927028 3603535390542 5405303085813 7207070781084 10810606171626 21621212343252