Search a number
-
+
448139698047 = 323761183112049
BaseRepresentation
bin1101000010101110011…
…01010001111101111111
31120211201121220102002100
412201113031101331333
524320242230314142
6541512245000143
744243214403626
oct6412715217577
91524647812070
10448139698047
111630671a4018
1272a290b3053
133334ab66782
14179938006bd
15b9cccc2b4c
hex6857351f7f

448139698047 has 48 divisors (see below), whose sum is σ = 676131476800. Its totient is φ = 285740006400.

The previous prime is 448139697923. The next prime is 448139698057. The reversal of 448139698047 is 740896931844.

448139698047 is a `hidden beast` number, since 4 + 481 + 39 + 6 + 9 + 80 + 47 = 666.

It is not a de Polignac number, because 448139698047 - 211 = 448139695999 is a prime.

It is a super-2 number, since 2×4481396980472 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448139698057) 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, 37187079 + ... + 37199127.

Almost surely, 2448139698047 is an apocalyptic number.

448139698047 is a deficient number, since it is larger than the sum of its proper divisors (227991778753).

448139698047 is a wasteful number, since it uses less digits than its factorization.

448139698047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13984 (or 13981 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 448139698047 in words is "four hundred forty-eight billion, one hundred thirty-nine million, six hundred ninety-eight thousand, forty-seven".

Divisors: 1 3 9 37 61 111 183 333 549 1831 2257 5493 6771 12049 16479 20313 36147 67747 108441 111691 203241 335073 445813 609723 734989 1005219 1337439 2204967 4012317 4132567 6614901 12397701 22061719 27194593 37193103 66185157 81583779 198555471 244751337 816283603 1345764859 2448850809 4037294577 7346552427 12111883731 49793299783 149379899349 448139698047