Search a number
-
+
446425343064 = 233222327804269
BaseRepresentation
bin1100111111100010000…
…01100010010001011000
31120200022011001011011100
412133301001202101120
524303234341434224
6541030204231400
744152556543301
oct6376101422130
91520264034140
10446425343064
11162367516818
127262ab3b560
133313693233c
141786dc5d7a8
15b92c535ac9
hex67f1062458

446425343064 has 48 divisors (see below), whose sum is σ = 1214490513600. Its totient is φ = 148141139904.

The previous prime is 446425343033. The next prime is 446425343071. The reversal of 446425343064 is 460343524644.

446425343064 is a `hidden beast` number, since 4 + 46 + 42 + 534 + 30 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13886079 + ... + 13918190.

It is an arithmetic number, because the mean of its divisors is an integer number (25301885700).

Almost surely, 2446425343064 is an apocalyptic number.

It is an amenable number.

446425343064 is an abundant number, since it is smaller than the sum of its proper divisors (768065170536).

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

446425343064 is a wasteful number, since it uses less digits than its factorization.

446425343064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27804504 (or 27804497 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 45.

The spelling of 446425343064 in words is "four hundred forty-six billion, four hundred twenty-five million, three hundred forty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 223 446 669 892 1338 1784 2007 2676 4014 5352 8028 16056 27804269 55608538 83412807 111217076 166825614 222434152 250238421 333651228 500476842 667302456 1000953684 2001907368 6200351987 12400703974 18601055961 24801407948 37202111922 49602815896 55803167883 74404223844 111606335766 148808447688 223212671532 446425343064