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1386956789166 = 2313315332513329
BaseRepresentation
bin10100001011101101000…
…100010001010110101110
311220120222101220000220010
4110023231010101112232
5140210441414223131
62541054213234050
7202130040122214
oct24135504212656
94816871800803
101386956789166
11495228a49a03
121a4975032926
13a0a355b6040
144b1b4232cb4
1526128024b46
hex142ed1115ae

1386956789166 has 128 divisors (see below), whose sum is σ = 3143748464640. Its totient is φ = 404951040000.

The previous prime is 1386956789159. The next prime is 1386956789167. The reversal of 1386956789166 is 6619876596831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1386956789167) 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 63 ways as a sum of consecutive naturals, for example, 416626990 + ... + 416630318.

It is an arithmetic number, because the mean of its divisors is an integer number (24560534880).

Almost surely, 21386956789166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1386956789166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571874232320).

1386956789166 is an abundant number, since it is smaller than the sum of its proper divisors (1756791675474).

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

1386956789166 is a wasteful number, since it uses less digits than its factorization.

1386956789166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6682.

The product of its digits is 705438720, while the sum is 75.

The spelling of 1386956789166 in words is "one trillion, three hundred eighty-six billion, nine hundred fifty-six million, seven hundred eighty-nine thousand, one hundred sixty-six".

Divisors: 1 2 3 6 13 26 31 39 53 62 78 93 106 159 186 318 403 689 806 1209 1378 1643 2067 2418 3251 3286 3329 4134 4929 6502 6658 9753 9858 9987 19506 19974 21359 42263 42718 43277 64077 84526 86554 100781 103199 126789 128154 129831 172303 176437 201562 206398 253578 259662 302343 309597 344606 352874 516909 529311 604686 619194 1033818 1058622 1310153 1341587 2239939 2293681 2620306 2683174 3930459 4024761 4479878 4587362 5341393 5469547 6719817 6881043 7860918 8049522 10682786 10822579 10939094 13439634 13762086 16024179 16408641 21645158 32048358 32467737 32817282 64935474 69438109 71104111 138876218 140693527 142208222 208314327 213312333 281387054 335499949 416628654 422080581 426624666 573596687 670999898 844161162 1006499847 1147193374 1720790061 2012999694 3441580122 4361499337 7456756931 8722998674 13084498011 14913513862 17781497297 22370270793 26168996022 35562994594 44740541586 53344491891 106688983782 231159464861 462318929722 693478394583 1386956789166