Search a number
-
+
406506113226 = 232347586711093
BaseRepresentation
bin1011110101001011010…
…01110000100011001010
31102212021002222011111100
411322211221300203022
523130011031110401
6510425112442230
741240412644103
oct5724551604312
91385232864440
10406506113226
11147442115584
126694a0a9376
132c44451c895
14159642b93aa
15a892ba5b86
hex5ea5a708ca

406506113226 has 48 divisors (see below), whose sum is σ = 883531662624. Its totient is φ = 135076335072.

The previous prime is 406506113213. The next prime is 406506113243. The reversal of 406506113226 is 622311605604.

406506113226 is a `hidden beast` number, since 4 + 0 + 6 + 5 + 0 + 611 + 32 + 2 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36639736 + ... + 36650828.

It is an arithmetic number, because the mean of its divisors is an integer number (18406909638).

Almost surely, 2406506113226 is an apocalyptic number.

406506113226 is an abundant number, since it is smaller than the sum of its proper divisors (477025549398).

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

406506113226 is a wasteful number, since it uses less digits than its factorization.

406506113226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17315 (or 17312 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 406506113226 in words is "four hundred six billion, five hundred six million, one hundred thirteen thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 347 694 1041 2082 3123 5867 6246 11093 11734 17601 22186 33279 35202 52803 66558 99837 105606 199674 2035849 3849271 4071698 6107547 7698542 11547813 12215094 18322641 23095626 34643439 36645282 65082631 69286878 130165262 195247893 390495786 585743679 1171487358 22583672957 45167345914 67751018871 135502037742 203253056613 406506113226