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12738332754 = 2337196412767
BaseRepresentation
bin10111101110100001…
…11000100001010010
31012212202102100111000
423313100320201102
5202042003122004
65504002402430
7630445020240
oct136720704122
935782370430
1012738332754
115447502a34
122576060416
131280105904
1488bad3790
154e84b5c39
hex2f7438852

12738332754 has 128 divisors (see below), whose sum is σ = 34119475200. Its totient is φ = 3441346560.

The previous prime is 12738332743. The next prime is 12738332777. The reversal of 12738332754 is 45723383721.

It is a happy number.

12738332754 is a `hidden beast` number, since 1 + 273 + 8 + 3 + 327 + 54 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4602279 + ... + 4605045.

It is an arithmetic number, because the mean of its divisors is an integer number (266558400).

Almost surely, 212738332754 is an apocalyptic number.

12738332754 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12738332754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17059737600).

12738332754 is an abundant number, since it is smaller than the sum of its proper divisors (21381142446).

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

12738332754 is a wasteful number, since it uses less digits than its factorization.

12738332754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445 (or 3439 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 12738332754 in words is "twelve billion, seven hundred thirty-eight million, three hundred thirty-two thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 641 798 1026 1197 1282 1923 2394 2767 3591 3846 4487 5534 5769 7182 8301 8974 11538 12179 13461 16602 17307 19369 24358 24903 26922 34614 36537 38738 40383 49806 52573 58107 73074 74709 80766 85253 105146 109611 116214 121149 149418 157719 170506 174321 219222 242298 255759 315438 328833 348642 368011 473157 511518 522963 657666 736022 767277 946314 1045926 1104033 1419471 1534554 1773647 2208066 2301831 2838942 3312099 3547294 4603662 5320941 6624198 9936297 10641882 12415529 15962823 19872594 24831058 31925646 33699293 37246587 47888469 67398586 74493174 95776938 101097879 111739761 202195758 223479522 235895051 303293637 335219283 471790102 606587274 670438566 707685153 909880911 1415370306 1819761822 2123055459 4246110918 6369166377 12738332754