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444425048676 = 22347195954607
BaseRepresentation
bin1100111011110011100…
…11000001001001100100
31120111010202010200010000
412131321303001021210
524240140303024201
6540055511101300
744052160404240
oct6357163011144
91514122120100
10444425048676
11161530398a64
1272171071830
1332ba83b3cab
1417720329420
15b861b15d86
hex6779cc1264

444425048676 has 60 divisors (see below), whose sum is σ = 1327788423808. Its totient is φ = 126978584688.

The previous prime is 444425048651. The next prime is 444425048677. The reversal of 444425048676 is 676840524444.

444425048676 is a `hidden beast` number, since 4 + 4 + 4 + 42 + 50 + 486 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (444425048677) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 97975036 + ... + 97979571.

Almost surely, 2444425048676 is an apocalyptic number.

It is an amenable number.

444425048676 is an abundant number, since it is smaller than the sum of its proper divisors (883363375132).

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

444425048676 is a wasteful number, since it uses less digits than its factorization.

444425048676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195954630 (or 195954619 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 54.

The spelling of 444425048676 in words is "four hundred forty-four billion, four hundred twenty-five million, forty-eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 195954607 391909214 587863821 783818428 1175727642 1371682249 1763591463 2351455284 2743364498 3527182926 4115046747 5290774389 5486728996 7054365852 8230093494 10581548778 12345140241 15872323167 16460186988 21163097556 24690280482 31744646334 37035420723 49380560964 63489292668 74070841446 111106262169 148141682892 222212524338 444425048676