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8438938515117 = 3211335925377137
BaseRepresentation
bin111101011001101011111…
…1011101011011010101101
31002212202101010122021211200
41322303113323223122231
52101230421224440432
625540443403440113
71530456522560025
oct172632773533255
932782333567750
108438938515117
112763a2a875340
12b43633526039
13492a333caa96
14212638058a85
15e97b206ba7c
hex7acd7eeb6ad

8438938515117 has 24 divisors (see below), whose sum is σ = 13301680654080. Its totient is φ = 5112985361280.

The previous prime is 8438938515109. The next prime is 8438938515179. The reversal of 8438938515117 is 7115158398348.

It is a happy number.

8438938515117 is a `hidden beast` number, since 8 + 4 + 3 + 89 + 38 + 5 + 1 + 511 + 7 = 666.

It is not a de Polignac number, because 8438938515117 - 23 = 8438938515109 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8438938515197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12356028 + ... + 13021109.

It is an arithmetic number, because the mean of its divisors is an integer number (554236693920).

Almost surely, 28438938515117 is an apocalyptic number.

It is an amenable number.

8438938515117 is a deficient number, since it is larger than the sum of its proper divisors (4862742138963).

8438938515117 is a wasteful number, since it uses less digits than its factorization.

8438938515117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25380513 (or 25380510 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 63.

The spelling of 8438938515117 in words is "eight trillion, four hundred thirty-eight billion, nine hundred thirty-eight million, five hundred fifteen thousand, one hundred seventeen".

Divisors: 1 3 9 11 33 99 3359 10077 30231 36949 110847 332541 25377137 76131411 228394233 279148507 837445521 2512336563 85241803183 255725409549 767176228647 937659835013 2812979505039 8438938515117