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10068013368 = 2333719933461
BaseRepresentation
bin10010110000001100…
…11011000100111000
3221222122202001221000
421120012123010320
5131104402411433
64343012245000
7504331462440
oct113006330470
927878661830
1010068013368
1142a7149506
121b4b910760
13c45b1197a
146b71c9120
153ddd45113
hex25819b138

10068013368 has 128 divisors (see below), whose sum is σ = 32123520000. Its totient is φ = 2862034560.

The previous prime is 10068013331. The next prime is 10068013387. The reversal of 10068013368 is 86331086001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284158 + ... + 317618.

It is an arithmetic number, because the mean of its divisors is an integer number (250965000).

Almost surely, 210068013368 is an apocalyptic number.

10068013368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10068013368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16061760000).

10068013368 is an abundant number, since it is smaller than the sum of its proper divisors (22055506632).

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

10068013368 is a wasteful number, since it uses less digits than its factorization.

10068013368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33682 (or 33672 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 10068013368 its reverse (86331086001), we get a palindrome (96399099369).

The spelling of 10068013368 in words is "ten billion, sixty-eight million, thirteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 199 216 252 378 398 504 597 756 796 1194 1393 1512 1592 1791 2388 2786 3582 4179 4776 5373 5572 7164 8358 10746 11144 12537 14328 16716 21492 25074 33432 33461 37611 42984 50148 66922 75222 100296 100383 133844 150444 200766 234227 267688 300888 301149 401532 468454 602298 702681 803064 903447 936908 1204596 1405362 1806894 1873816 2108043 2409192 2810724 3613788 4216086 5621448 6324129 6658739 7227576 8432172 12648258 13317478 16864344 19976217 25296516 26634956 39952434 46611173 50593032 53269912 59928651 79904868 93222346 119857302 139833519 159809736 179785953 186444692 239714604 279667038 359571906 372889384 419500557 479429208 559334076 719143812 839001114 1118668152 1258501671 1438287624 1678002228 2517003342 3356004456 5034006684 10068013368