Search a number
-
+
446428880388 = 223212400802233
BaseRepresentation
bin1100111111100010011…
…11000001111000000100
31120200022101200212110100
412133301033001320010
524303241243133023
6541030412124100
744152631605221
oct6376117017004
91520271625410
10446428880388
11162369512427
1272630166630
13331375a042a
1417870500948
15b92c9d3c43
hex67f13c1e04

446428880388 has 18 divisors (see below), whose sum is σ = 1128473003294. Its totient is φ = 148809626784.

The previous prime is 446428880377. The next prime is 446428880413. The reversal of 446428880388 is 883088824644.

446428880388 is a `hidden beast` number, since 44 + 64 + 2 + 88 + 80 + 388 = 666.

It can be written as a sum of positive squares in only one way, i.e., 274819189824 + 171609690564 = 524232^2 + 414258^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×4464288803882 (a number of 24 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 6200401081 + ... + 6200401152.

Almost surely, 2446428880388 is an apocalyptic number.

It is an amenable number.

446428880388 is an abundant number, since it is smaller than the sum of its proper divisors (682044122906).

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

446428880388 is a wasteful number, since it uses less digits than its factorization.

446428880388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12400802243 (or 12400802238 counting only the distinct ones).

The product of its (nonzero) digits is 75497472, while the sum is 63.

The spelling of 446428880388 in words is "four hundred forty-six billion, four hundred twenty-eight million, eight hundred eighty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 12400802233 24801604466 37202406699 49603208932 74404813398 111607220097 148809626796 223214440194 446428880388