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21325434452 = 2272269601673
BaseRepresentation
bin10011110111000110…
…000100111001010100
32001001012120022111122
4103313012010321110
5322133302400302
613444034023112
71353315126200
oct236706047124
961035508448
1021325434452
1190537195a3
124171a17a98
13201b17978a
141064347b00
1584c2d23a2
hex4f7184e54

21325434452 has 72 divisors (see below), whose sum is σ = 43711232040. Its totient is φ = 9076838400.

The previous prime is 21325434439. The next prime is 21325434463. The reversal of 21325434452 is 25443452312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1097199376 + 20228235076 = 33124^2 + 142226^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31686788 + ... + 31687460.

It is an arithmetic number, because the mean of its divisors is an integer number (607100445).

Almost surely, 221325434452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21325434452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21855616020).

21325434452 is an abundant number, since it is smaller than the sum of its proper divisors (22385797588).

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

21325434452 is a wasteful number, since it uses less digits than its factorization.

21325434452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1552 counting only the distinct ones).

The product of its digits is 115200, while the sum is 35.

Adding to 21325434452 its reverse (25443452312), we get a palindrome (46768886764).

The spelling of 21325434452 in words is "twenty-one billion, three hundred twenty-five million, four hundred thirty-four thousand, four hundred fifty-two".

Divisors: 1 2 4 7 14 28 49 98 196 269 538 601 673 1076 1202 1346 1883 2404 2692 3766 4207 4711 7532 8414 9422 13181 16828 18844 26362 29449 32977 52724 58898 65954 117796 131908 161669 181037 323338 362074 404473 646676 724148 808946 1131683 1267259 1617892 2263366 2534518 2831311 4526732 5069036 5662622 7921781 8870813 11325244 15843562 17741626 19819177 31687124 35483252 39638354 79276708 108803237 217606474 435212948 761622659 1523245318 3046490636 5331358613 10662717226 21325434452