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446228188112457 = 3431318755760701
BaseRepresentation
bin110010101110101111001100…
…0101001000010011001001001
32011111221222221122220211210000
41211131132120221002121021
5431442000312124044312
64221014222153313213
7162663631325325252
oct14535363051023111
92144858848824700
10446228188112457
1111a200348054423
124206a019405809
13161cb1a336674a
147c297b954db29
15368c644c7aadc
hex195d798a42649

446228188112457 has 40 divisors (see below), whose sum is σ = 688306536803072. Its totient is φ = 287798816124000.

The previous prime is 446228188112449. The next prime is 446228188112479. The reversal of 446228188112457 is 754211881822644.

It is a happy number.

446228188112457 is a `hidden beast` number, since 4 + 4 + 6 + 22 + 81 + 8 + 81 + 1 + 2 + 457 = 666.

It is not a de Polignac number, because 446228188112457 - 23 = 446228188112449 is a prime.

It is a super-2 number, since 2×4462281881124572 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 446228188112394 and 446228188112403.

It is not an unprimeable number, because it can be changed into a prime (446228188112417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19877794 + ... + 35882907.

Almost surely, 2446228188112457 is an apocalyptic number.

It is an amenable number.

446228188112457 is a deficient number, since it is larger than the sum of its proper divisors (242078348690615).

446228188112457 is a wasteful number, since it uses less digits than its factorization.

446228188112457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55763931 (or 55763922 counting only the distinct ones).

The product of its digits is 55050240, while the sum is 63.

The spelling of 446228188112457 in words is "four hundred forty-six trillion, two hundred twenty-eight billion, one hundred eighty-eight million, one hundred twelve thousand, four hundred fifty-seven".

Divisors: 1 3 9 27 31 81 93 279 837 2511 3187 9561 28683 86049 98797 258147 296391 889173 2667519 8002557 55760701 167282103 501846309 1505538927 1728581731 4516616781 5185745193 15557235579 46671706737 140015120211 177709354087 533128062261 1599384186783 4798152560349 5508989976697 14394457681047 16526969930091 49580909790273 148742729370819 446228188112457