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78372889749 = 327114312592089
BaseRepresentation
bin100100011111101100…
…0110110010010010101
321111021221102022100100
41020333120312102111
52241001424432444
6100000511004313
75443103366640
oct1107730662225
9244257368310
1078372889749
11302684a9070
1213232b09699
13750ccc949b
143b16a28a57
15208a716e69
hex123f636495

78372889749 has 96 divisors (see below), whose sum is σ = 144605260800. Its totient is φ = 39715764480.

The previous prime is 78372889739. The next prime is 78372889753. The reversal of 78372889749 is 94798827387.

It is not a de Polignac number, because 78372889749 - 28 = 78372889493 is a prime.

It is a super-2 number, since 2×783728897492 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78372889739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37515897 + ... + 37517985.

It is an arithmetic number, because the mean of its divisors is an integer number (1506304800).

Almost surely, 278372889749 is an apocalyptic number.

It is an amenable number.

78372889749 is a deficient number, since it is larger than the sum of its proper divisors (66232371051).

78372889749 is a wasteful number, since it uses less digits than its factorization.

78372889749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3415 (or 3412 counting only the distinct ones).

The product of its digits is 341397504, while the sum is 72.

The spelling of 78372889749 in words is "seventy-eight billion, three hundred seventy-two million, eight hundred eighty-nine thousand, seven hundred forty-nine".

Divisors: 1 3 7 9 11 21 33 43 63 77 99 129 231 301 387 473 693 903 1259 1419 2089 2709 3311 3777 4257 6267 8813 9933 11331 13849 14623 18801 22979 26439 29799 41547 43869 54137 68937 79317 89827 96943 124641 131607 160853 162411 206811 269481 290829 378959 482559 487233 595507 628789 808443 872487 988097 1136877 1447677 1786521 1886367 2630051 2964291 3410631 4168549 5359563 5659101 6916679 7890153 8892873 12505647 18410357 20750037 23670459 28930561 37516941 55231071 62250111 86791683 113092193 165693213 202513927 260375049 339276579 607541781 791645351 1017829737 1244014123 1822625343 2374936053 3732042369 7124808159 8708098861 11196127107 26124296583 78372889749