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216061350976 = 269725992
BaseRepresentation
bin1100100100111001000…
…0101001010001000000
3202122200200112212000101
43021032100221101000
512014443201212401
6243131320332144
721416126116102
oct3111620512100
9678620485011
10216061350976
11836a3aaa989
1235a5a614054
13174b3a06253
14a659263572
155948538101
hex324e429440

216061350976 has 63 divisors (see below), whose sum is σ = 433936813989. Its totient is φ = 106738464768.

The previous prime is 216061350959. The next prime is 216061350979. The reversal of 216061350976 is 679053160612.

The square root of 216061350976 is 464824.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 97019790400 + 119041560576 = 311480^2 + 345024^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (216061350979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 360703125 + ... + 360703723.

Almost surely, 2216061350976 is an apocalyptic number.

216061350976 is the 464824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216061350976

216061350976 is an abundant number, since it is smaller than the sum of its proper divisors (217875463013).

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

216061350976 is an frugal number, since it uses more digits than its factorization.

216061350976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 216061350976 in words is "two hundred sixteen billion, sixty-one million, three hundred fifty thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 97 194 388 599 776 1198 1552 2396 3104 4792 6208 9409 9584 18818 19168 37636 38336 58103 75272 116206 150544 232412 301088 358801 464824 602176 717602 929648 1435204 1859296 2870408 3718592 5635991 5740816 11271982 11481632 22543964 22963264 34803697 45087928 69607394 90175856 139214788 180351712 278429576 360703424 556859152 1113718304 2227436608 3375958609 6751917218 13503834436 27007668872 54015337744 108030675488 216061350976