Search a number
-
+
21261054620032 = 274726591329103
BaseRepresentation
bin1001101010110001110011…
…00110111011000110000000
32210021112111110012200002121
410311120321212323012000
510241320114440320112
6113115105455054024
74323026516312413
oct465307146730600
983245443180077
1021261054620032
116857843070897
122474650211314
13bb2ba797b036
1453707d323b7a
1526d0aeb94407
hex1356399bb180

21261054620032 has 64 divisors (see below), whose sum is σ = 43273499673600. Its totient is φ = 10400425173504.

The previous prime is 21261054619979. The next prime is 21261054620093. The reversal of 21261054620032 is 23002645016212.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 21261054620032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15331993 + ... + 16661095.

It is an arithmetic number, because the mean of its divisors is an integer number (676148432400).

Almost surely, 221261054620032 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 21261054620032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21636749836800).

21261054620032 is an abundant number, since it is smaller than the sum of its proper divisors (22012445053568).

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

21261054620032 is a wasteful number, since it uses less digits than its factorization.

21261054620032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331823 (or 1331811 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 21261054620032 its reverse (23002645016212), we get a palindrome (44263699636244).

The spelling of 21261054620032 in words is "twenty-one trillion, two hundred sixty-one billion, fifty-four million, six hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 2659 3008 5318 6016 10636 21272 42544 85088 124973 170176 249946 340352 499892 999784 1329103 1999568 2658206 3999136 5316412 7998272 10632824 15996544 21265648 42531296 62467841 85062592 124935682 170125184 249871364 499742728 999485456 1998970912 3534084877 3997941824 7068169754 7995883648 14136339508 28272679016 56545358032 113090716064 166101989219 226181432128 332203978438 452362864256 664407956876 1328815913752 2657631827504 5315263655008 10630527310016 21261054620032