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444564000287 = 112371078831051
BaseRepresentation
bin1100111100000100001…
…01000100111000011111
31120111111102121010212222
412132002011010320133
524240431341002122
6540121353215555
744055465440051
oct6360205047037
91514442533788
10444564000287
111615a1874400
12721ab7015bb
1332bcb115094
14177349798d1
15b86de11b42
hex6782144e1f

444564000287 has 48 divisors (see below), whose sum is σ = 507606293376. Its totient is φ = 388739736000.

The previous prime is 444564000269. The next prime is 444564000289. The reversal of 444564000287 is 782000465444.

It is not a de Polignac number, because 444564000287 - 222 = 444559805983 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444564000289) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 422990912 + ... + 422991962.

It is an arithmetic number, because the mean of its divisors is an integer number (10575131112).

Almost surely, 2444564000287 is an apocalyptic number.

444564000287 is a deficient number, since it is larger than the sum of its proper divisors (63042293089).

444564000287 is a wasteful number, since it uses less digits than its factorization.

With its successor (444564000288) it forms an eRAP, since the sums of their prime factors are consecutive (2100 and 2101).

444564000287 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 44.

The spelling of 444564000287 in words is "four hundred forty-four billion, five hundred sixty-four million, two hundred eighty-seven", and thus it is an aban number.

Divisors: 1 11 37 107 121 407 883 1051 1177 3959 4477 9713 11561 12947 32671 38887 43549 94481 106843 112457 127171 359381 427757 479039 928033 1039291 1237027 3495797 3953191 4160909 4705327 10208363 11432201 13607297 34337221 38453767 45769999 99299531 112291993 377709431 422991437 503469989 1092294841 3674082647 4154803741 12015243251 40414909117 444564000287