Search a number
-
+
446212316052126 = 232139011211618049
BaseRepresentation
bin110010101110100111110011…
…0100101111011101010011110
32011111220110222111211122012200
41211131033212211323222132
5431441220310402132001
64221003035204112330
7162662530106125011
oct14535174645735236
92144813874748180
10446212316052126
1111a1a4642753598
1242066b299956a6
13161c9843c57280
147c28b115a3378
15368c016608086
hex195d3e697ba9e

446212316052126 has 48 divisors (see below), whose sum is σ = 1041277619163600. Its totient is φ = 137280860098560.

The previous prime is 446212316052071. The next prime is 446212316052241. The reversal of 446212316052126 is 621250613212644.

It is a happy number.

446212316052126 is a `hidden beast` number, since 4 + 4 + 6 + 2 + 1 + 2 + 31 + 605 + 2 + 1 + 2 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103700451 + ... + 107917598.

It is an arithmetic number, because the mean of its divisors is an integer number (21693283732575).

Almost surely, 2446212316052126 is an apocalyptic number.

446212316052126 is an abundant number, since it is smaller than the sum of its proper divisors (595065303111474).

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

446212316052126 is a wasteful number, since it uses less digits than its factorization.

446212316052126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211627081 (or 211627078 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 446212316052126 in words is "four hundred forty-six trillion, two hundred twelve billion, three hundred sixteen million, fifty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 9011 18022 27033 54066 81099 117143 162198 234286 351429 702858 1054287 2108574 211618049 423236098 634854147 1269708294 1904562441 2751034637 3809124882 5502069274 8253103911 16506207822 24759311733 49518623466 1906890239539 3813780479078 5720670718617 11441341437234 17162012155851 24789573114007 34324024311702 49579146228014 74368719342021 148737438684042 223106158026063 446212316052126