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109427316804 = 223213242412
BaseRepresentation
bin110010111101001100…
…0000101100001000100
3101110110011210122201100
41211322120011201010
53243101343114204
6122134211100100
710622465563101
oct1457230054104
9343404718640
10109427316804
114245395a813
121925aba1630
13a41b976c00
14542110baa8
152ca6bc3a39
hex197a605844

109427316804 has 81 divisors (see below), whose sum is σ = 299592848919. Its totient is φ = 33662004480.

The previous prime is 109427316773. The next prime is 109427316829. The reversal of 109427316804 is 408613724901.

The square root of 109427316804 is 330798.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7890768900 + 101536547904 = 88830^2 + 318648^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 109427316804.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25800124 + ... + 25804364.

Almost surely, 2109427316804 is an apocalyptic number.

109427316804 is the 330798-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109427316804

109427316804 is an abundant number, since it is smaller than the sum of its proper divisors (190165532115).

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

109427316804 is an equidigital number, since it uses as much as digits as its factorization.

109427316804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8518 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 109427316804 in words is "one hundred nine billion, four hundred twenty-seven million, three hundred sixteen thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 4241 6084 8482 12723 16964 25446 38169 50892 55133 76338 110266 152676 165399 220532 330798 496197 661596 716729 992394 1433458 1984788 2150187 2866916 4300374 6450561 8600748 12901122 17986081 25802244 35972162 53958243 71944324 107916486 161874729 215832972 233819053 323749458 467638106 647498916 701457159 935276212 1402914318 2104371477 2805828636 3039647689 4208742954 6079295378 8417485908 9118943067 12158590756 18237886134 27356829201 36475772268 54713658402 109427316804