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12938498289 = 3241349100469
BaseRepresentation
bin11000000110011000…
…11101000011110001
31020101201001210222100
430003030131003301
5202444223421124
65535512531013
7635425264233
oct140314350361
936351053870
1012938498289
11553a4992a2
1226110b0a69
1312b271a362
148aa51a253
1550ad541c9
hex30331d0f1

12938498289 has 24 divisors (see below), whose sum is σ = 19199817000. Its totient is φ = 8391087360.

The previous prime is 12938498281. The next prime is 12938498317. The reversal of 12938498289 is 98289483921.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2619392400 + 10319105889 = 51180^2 + 101583^2 .

It is not a de Polignac number, because 12938498289 - 23 = 12938498281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12938498281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78547 + ... + 179015.

It is an arithmetic number, because the mean of its divisors is an integer number (799992375).

Almost surely, 212938498289 is an apocalyptic number.

It is an amenable number.

12938498289 is a deficient number, since it is larger than the sum of its proper divisors (6261318711).

12938498289 is a wasteful number, since it uses less digits than its factorization.

12938498289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100865 (or 100862 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 63.

The spelling of 12938498289 in words is "twelve billion, nine hundred thirty-eight million, four hundred ninety-eight thousand, two hundred eighty-nine".

Divisors: 1 3 9 41 123 349 369 1047 3141 14309 42927 100469 128781 301407 904221 4119229 12357687 35063681 37073061 105191043 315573129 1437610921 4312832763 12938498289