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2676318725168 = 2411192989310087
BaseRepresentation
bin100110111100100001000…
…001101110010000110000
3100110212001020211211201222
4212330201001232100300
5322322100043201133
65405252302244212
7364233446550014
oct46744101562060
910425036754658
102676318725168
11942025170170
12372831886668
131654b675ab4a
149376aa04544
154993d050e98
hex26f2106e430

2676318725168 has 160 divisors (see below), whose sum is σ = 6229047744000. Its totient is φ = 1100234741760.

The previous prime is 2676318725159. The next prime is 2676318725219. The reversal of 2676318725168 is 8615278136762.

It is a self number, because there is not a number n which added to its sum of digits gives 2676318725168.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8475821 + ... + 8785907.

It is an arithmetic number, because the mean of its divisors is an integer number (38931548400).

Almost surely, 22676318725168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2676318725168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114523872000).

2676318725168 is an abundant number, since it is smaller than the sum of its proper divisors (3552729018832).

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

2676318725168 is a wasteful number, since it uses less digits than its factorization.

2676318725168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310243 (or 310237 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 62.

The spelling of 2676318725168 in words is "two trillion, six hundred seventy-six billion, three hundred eighteen million, seven hundred twenty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 16 19 22 29 38 44 58 76 88 89 116 152 176 178 209 232 304 319 356 418 464 551 638 712 836 979 1102 1276 1424 1672 1691 1958 2204 2552 2581 3344 3382 3916 4408 5104 5162 6061 6764 7832 8816 10324 12122 13528 15664 18601 20648 24244 27056 28391 37202 41296 48488 49039 56782 74404 96976 98078 113564 148808 196156 227128 297616 310087 392312 454256 539429 620174 784624 1078858 1240348 2157716 2480696 3410957 4315432 4961392 5891653 6821914 8630864 8992523 11783306 13643828 17985046 23566612 27287656 27597743 35970092 47133224 54575312 55195486 64808183 71940184 94266448 98917753 110390972 129616366 143880368 170857937 197835506 220781944 259232732 303575173 341715874 395671012 441563888 518465464 524357117 607150346 683431748 791342024 800334547 1036930928 1048714234 1214300692 1366863496 1582684048 1600669094 1879437307 2097428468 2428601384 2733726992 3201338188 3758874614 4194856936 4857202768 5767928287 6402676376 7517749228 8389713872 8803680017 11535856574 12805352752 15035498456 15206356393 17607360034 23071713148 30070996912 30412712786 35214720068 46143426296 60825425572 70429440136 92286852592 121650851144 140858880272 167269920323 243301702288 334539840646 669079681292 1338159362584 2676318725168