Search a number
-
+
21339849762 = 2337211733177
BaseRepresentation
bin10011110111111101…
…000100010000100010
32001002012200200121000
4103313331010100202
5322201000143022
613445311012430
71353551505300
oct236775042042
961065620530
1021339849762
119060874a80
12417680a116
132021155c4a
14106621b270
1584d6cd6ac
hex4f7f44422

21339849762 has 96 divisors (see below), whose sum is σ = 60179250240. Its totient is φ = 5542810560.

The previous prime is 21339849737. The next prime is 21339849763. The reversal of 21339849762 is 26794893312.

21339849762 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 98 + 497 + 62 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 21339849699 and 21339849708.

It is not an unprimeable number, because it can be changed into a prime (21339849763) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 337483 + ... + 395694.

It is an arithmetic number, because the mean of its divisors is an integer number (626867190).

Almost surely, 221339849762 is an apocalyptic number.

21339849762 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21339849762 is an abundant number, since it is smaller than the sum of its proper divisors (38839400478).

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

21339849762 is a wasteful number, since it uses less digits than its factorization.

21339849762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733213 (or 733200 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 21339849762 in words is "twenty-one billion, three hundred thirty-nine million, eight hundred forty-nine thousand, seven hundred sixty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 98 99 126 147 154 189 198 231 294 297 378 441 462 539 594 693 882 1078 1323 1386 1617 2079 2646 3234 4158 4851 9702 14553 29106 733177 1466354 2199531 4399062 5132239 6598593 8064947 10264478 13197186 15396717 16129894 19795779 24194841 30793434 35925673 39591558 46190151 48389682 56454629 71851346 72584523 92380302 107777019 112909258 138570453 145169046 169363887 215554038 217753569 277140906 323331057 338727774 395182403 435507138 508091661 646662114 790364806 969993171 1016183322 1185547209 1524274983 1939986342 2371094418 3048549966 3556641627 7113283254 10669924881 21339849762